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Finding the Fourth Proportional to 9,324.72, 12,882.24 and 6,962.76

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Solution

The fourth proportional to 9,324.72, 12,882.24 and 6,962.76 is: 9,619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.72 : 12,882.24 = 6,962.76 : x
  2. Step 2: Convert to fraction form
    9,324.72/12,882.24 = 6,962.76/x
  3. Step 3: Cross multiply
    9,324.72x = 12,882.24 × 6,962.76
  4. Step 4: Simplify right side
    9,324.72x = 89,695,945.38
  5. Step 5: Solve for x
    x = 89,695,945.38/9,324.72
  6. Step 6: Final answer
    x = 9,619.16

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Why These Related Problems?

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