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Finding the Fourth Proportional to 9,960, 14,938.96 and 6,251.24

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Solution

The fourth proportional to 9,960, 14,938.96 and 6,251.24 is: 9,376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960 : 14,938.96 = 6,251.24 : x
  2. Step 2: Convert to fraction form
    9,960/14,938.96 = 6,251.24/x
  3. Step 3: Cross multiply
    9,960x = 14,938.96 × 6,251.24
  4. Step 4: Simplify right side
    9,960x = 93,387,024.31
  5. Step 5: Solve for x
    x = 93,387,024.31/9,960
  6. Step 6: Final answer
    x = 9,376.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.