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Finding the Fourth Proportional to 9,882.48, 13,631.54 and 6,657.78

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Solution

The fourth proportional to 9,882.48, 13,631.54 and 6,657.78 is: 9,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.48 : 13,631.54 = 6,657.78 : x
  2. Step 2: Convert to fraction form
    9,882.48/13,631.54 = 6,657.78/x
  3. Step 3: Cross multiply
    9,882.48x = 13,631.54 × 6,657.78
  4. Step 4: Simplify right side
    9,882.48x = 90,755,794.38
  5. Step 5: Solve for x
    x = 90,755,794.38/9,882.48
  6. Step 6: Final answer
    x = 9,183.50

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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.