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Finding the Fourth Proportional to 9,331.38, 12,877.28 and 5,082.68

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Solution

The fourth proportional to 9,331.38, 12,877.28 and 5,082.68 is: 7,014.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.38 : 12,877.28 = 5,082.68 : x
  2. Step 2: Convert to fraction form
    9,331.38/12,877.28 = 5,082.68/x
  3. Step 3: Cross multiply
    9,331.38x = 12,877.28 × 5,082.68
  4. Step 4: Simplify right side
    9,331.38x = 65,451,003.71
  5. Step 5: Solve for x
    x = 65,451,003.71/9,331.38
  6. Step 6: Final answer
    x = 7,014.08

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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.