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In the figure (not drawn to scale) given below, P is a point on AB such that AP: PB = 4:3. PQ is parallel to AC and QD is parallel to CP. In ∆ARC, ∠ARC = 90° and in ∆PQS, ∠PSQ = 90°. The length of QS is 6 cm. What is the ratio of AP:PD?