A sum of money is to be shared in the ratio 3:5:7. If the smallest share is $9, how much money is shared?

To solve this problem, we need to follow these steps:

1. First, we need to understand that the ratio 3:5:7 means that the total sum of money is divided into 3 + 5 + 7 = 15 equal parts.

2. We know that the smallest share is $9, which corresponds to the "3" in the ratio. This means that each part of the total sum is worth$9 / 3 = $3.

3. Now that we know the value of each part, we can find the total sum of money by multiplying this value by the total number of parts. So, the total sum of money is $3 * 15 =$45.

So, the total sum of money that is shared is $45.