The quotient of a secret number and 4 is 9

Let's call the 'secret number' x.

A quotient is basically a Dividend/Divisor. If the Divisor is 4, we need to find the dividend, which is x.

Therefore:

x/4=9

We need to isolate the variable by the multiplication property of equality.

x=36.

As a result, the "secret number" is 36

9 times 4 gives you 36

36 divided by 4 gets you your answer which is 9