When rounding a number to the nearest tenth place, we look at the digit in the hundredth place. If it is 5 or greater, we round up. If it is less than 5, we round down. In this case, the digit in the hundredth place is 6, which is greater than 5. Therefore, we round up the digit in the tenths place, which is 4, to the next higher number, which is 7. So the correct answer is 34.7.