about props for yak-9, it's was very old post
and now i remembered about "temporary technical description of aircraft yak-9", 1944 (approved on 27 may 1944, signed in print, apparently, on 7 july 1944), well, manual clearly says what vish-61p it's for yak-9, vish-105vs it's for yak-9 with ns-37...
but, in fact, apparently it's just details, because and before all types of yaks had around 535 kph at sl and more...
and what interesting, manual have clearly information about fuel load and oil load of yak-9d ie yak with 4 fuel tanks and special oil tank, full fuel load - 480 kg (310 in 2 "average" tanks, 170 in 2 "extreme" tanks, in total 480), oil load - 34 kg (oil system it's 14 kg ie 48 in total)...
so, for example, yak-9m with full weight 3095 kg (max. weights which i saw it's 3117 kg, min. 3050 kg), as typical front fighter (- 170 kg of fuel and, apparently, - around 10-15 kg of oil) have around 2910 kg, in comparison with first series of yak-9 in 42-43 which had around 2875 kg (around 18.5 sec of turntime) instead around 2835 of prototype (16-17)...
well, apparently, better aerodynamics and quality can give for yak-9m with around 2900 kg around 16-17 sec of turn time, plus, in end'44 vk-105pf2 gives for plane extra HPs, so... hmmm... wow......... but, it's only very simple calculations...