From a 1946 US Navy report I have 5165 kills in the Pacific and 8 kills in the ETO for 5168. This is from the US Navy, not made up by me. It might have been revies downward to 5163 ... but the number is quite valid.
You can check it out yourself online anytime. 19 to 1 kills ratio for teh Hellcat; nothing else came close. Next closest in US service was about 13 : 1, and that isn't even close.
You might want to read my post above re F6F scores. I am well aware of the source for your numbers and even mention it in my post, indeed the
Naval Aviation Combat Statistics - World War II produced by a team led by CDR Stuart Barber USNR for OpNav is one of the first places I go for data. You might note in my post on the F6F, above, I am careful there to point out the 5163 that jumps out at one from that report for an F6F total is only the credits for, as is generically noted "Fighters" (3,718) and "Bombers" (1,445) and does not count the Japanese equivalents of VOS/VCS, VP, VN, VR, or VJ types which appear much later in the report. If you want a full count for F6Fs you have to figure those in. Go look at the tables again and, indeed, the entire report; they were very careful about how they phrased things and specified categories. If you don't pay attention to the nuances, it is very easy to make a mis-count. Also, look at Table 1 again. It does not say anything about Pacific only; the title is "Consolidated Summary of Navy and Marine Carrier and Land‑Based Air Operations and Results For Entire War," that means the 8 F6F credits for VF-74 and VOF-1 in Operation Dragoon are included, you are counting them twice.
Olynyk, on the other hand, author of
Stars and Bars - A Tribute to the American Fighter Ace, 1920-1973 and the recognized historian for the American Fighter Aces Association, went back through the combat reports and connected the dots with a pilot name to each credit, probable, or damaged, and the enemy type cited in the report, something not found in Barber's team's Naval Aviation Combat Statistics. You might want to try to avail yourself of a copy,
USN Credits for the Destruction of Enemy Aircraft in Air-to-Air Combat - World War II, and give it some study before jumping. Of course, it is not easy to get. There is a companion volume on USMC credits around which I'd like to get my hands as well as volumes on the USAAF in the ETO, MTO, CBI, and POA. I've the USAAF CBI and POA, but not ETO or MTO - since I've little interest in that part of the world, 'tis no great loss.
I'd also point out that unless you have carefully gone through the Barber report and put it all in nice new spread sheets with nice new formulas you may find yourself zeroing in on some typos . . . that is, the numbers in calculation fields are not always typed in correctly, certainly not often, not even in every table, but enough for someone with a background in operational statistics to spot just eye-balling it. Another quaint oddity, with which I happen to agree, in the Barber report is that it follows the convention of the practitioners of period in tracking FM scores separate from F4F scores - now if you want to see an interesting credit to loss ratio, look at the Eastern FM-2.
So, using the 5163 figure or even 5165 as the total for F6F credits is pretty close, but not entirely accurate, the number is higher. On the other hand, I doubt we'll ever have a 100% accurate accounting.