I was looking at the chart and it says you need 3 transmute charges for a T3 and 9 for a t4. All you need for a T3 stone is 1 charge and a T4 you will need 4 charges. I didnt look at it any more then that but I assume if the numbers for t3 and t4 are off the rest will be off also.
Lol, someone who goes to all that trouble isn't going to make that kind of simple mistake. You're overlooking something:
It's 3 charges because you need 3 T3 stones to make one T4 stone.
So you need 9 more to make 3 T4 stones, for a total of 12 charges, and so on. The numbers are correct.