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In the figures shown, ABCD is a square with sides of length 12, and EFGH is a square with sides of length 9. If the ratio of the area of square ABCD to the area of square EFGH is equal to the ratio of the area of triangle PCD to the area of triangle QGH, what is the ratio of the length of PC to the length of QG ?
Give your answer as a fraction.
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以上解析由 考满分老师提供。