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Finding the Fourth Proportional to 10,718.32, 14,757.60 and 9,734.16

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Solution

The fourth proportional to 10,718.32, 14,757.60 and 9,734.16 is: 13,402.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,718.32 : 14,757.60 = 9,734.16 : x
  2. Step 2: Convert to fraction form
    10,718.32/14,757.60 = 9,734.16/x
  3. Step 3: Cross multiply
    10,718.32x = 14,757.60 × 9,734.16
  4. Step 4: Simplify right side
    10,718.32x = 143,652,839.62
  5. Step 5: Solve for x
    x = 143,652,839.62/10,718.32
  6. Step 6: Final answer
    x = 13,402.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.