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Finding the Fourth Proportional to 9,251.38, 12,755.68 and 6,421.14

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Solution

The fourth proportional to 9,251.38, 12,755.68 and 6,421.14 is: 8,853.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.38 : 12,755.68 = 6,421.14 : x
  2. Step 2: Convert to fraction form
    9,251.38/12,755.68 = 6,421.14/x
  3. Step 3: Cross multiply
    9,251.38x = 12,755.68 × 6,421.14
  4. Step 4: Simplify right side
    9,251.38x = 81,905,991.02
  5. Step 5: Solve for x
    x = 81,905,991.02/9,251.38
  6. Step 6: Final answer
    x = 8,853.38

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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.