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Finding the Fourth Proportional to 9,442.43, 14,167.49 and 6,069

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Solution

The fourth proportional to 9,442.43, 14,167.49 and 6,069 is: 9,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.43 : 14,167.49 = 6,069 : x
  2. Step 2: Convert to fraction form
    9,442.43/14,167.49 = 6,069/x
  3. Step 3: Cross multiply
    9,442.43x = 14,167.49 × 6,069
  4. Step 4: Simplify right side
    9,442.43x = 85,982,496.81
  5. Step 5: Solve for x
    x = 85,982,496.81/9,442.43
  6. Step 6: Final answer
    x = 9,105.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.