A 1 in 9 twist is 1.33 times faster than a 1-in-12 twist, so it would seem that, for whatever velocity your bullet is stabilised in the 1/9 barrel, you will need 1.33 times that velocity to get that same RPS in a 1-in-12 twist tube.
If this is correct, for a load that produces 3000 fps MV in your 1/9 twist barrel, you will need 4000fps to produce the same RPS, in a 1/12.
I don't think it's quite that simple, since it seems to me that if the reason a faster twist is needed is that the longer, heavier bullet has a greater tendancy to tumble, due in part to it's greater mass in the ass, so to speak, the faster you push it, the more faster it must spin in order to stabilize.
What caliber are you talking about?
EDIT: I've been known to make a mistake or two especially with fractions. Hopefully Fred M will be along shortly to correct any errors I have made here.