Ratios of Cats to Dogs

In a small town, the ratio of cats to dogs is 3:4. If the number of cats increases by 50% and the number of dogs increases by 25%, what is the new ratio of cats to dogs in simplest form?

Let the initial number of cats be represented by $C$ and the initial number of dogs be represented by $D$. According to the ratio, we have:

$$ \f\frac{C}{D} = \f\frac{3}{4} $$

Assume there are initially 3 cats and 4 dogs for simplicity. Now calculate the increased numbers of cats and dogs to find the new ratio.