At a certain school, the ratio of the number of five-year-olds to the number of nine-year-olds is 12 to 5, and the ratio of the number of four-year-old's to the number of five-year old's is 3 to 4. If the ratio of the number of eight-year-olds to the number of nine-year-olds is 3 to 2, what is the ratio of the number of four-year-olds to the number of eight-year-olds?