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Finding the Fourth Proportional to 8,871.38, 12,234.92 and 6,327.78

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Solution

The fourth proportional to 8,871.38, 12,234.92 and 6,327.78 is: 8,726.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,871.38 : 12,234.92 = 6,327.78 : x
  2. Step 2: Convert to fraction form
    8,871.38/12,234.92 = 6,327.78/x
  3. Step 3: Cross multiply
    8,871.38x = 12,234.92 × 6,327.78
  4. Step 4: Simplify right side
    8,871.38x = 77,419,804.56
  5. Step 5: Solve for x
    x = 77,419,804.56/8,871.38
  6. Step 6: Final answer
    x = 8,726.92

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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.