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Finding the Fourth Proportional to 9,538.72, 14,269.17 and 7,691.92

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Solution

The fourth proportional to 9,538.72, 14,269.17 and 7,691.92 is: 11,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.72 : 14,269.17 = 7,691.92 : x
  2. Step 2: Convert to fraction form
    9,538.72/14,269.17 = 7,691.92/x
  3. Step 3: Cross multiply
    9,538.72x = 14,269.17 × 7,691.92
  4. Step 4: Simplify right side
    9,538.72x = 109,757,314.11
  5. Step 5: Solve for x
    x = 109,757,314.11/9,538.72
  6. Step 6: Final answer
    x = 11,506.50

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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.