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Finding the Fourth Proportional to 8,974.88, 13,463.22 and 3,432.89

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Solution

The fourth proportional to 8,974.88, 13,463.22 and 3,432.89 is: 5,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.88 : 13,463.22 = 3,432.89 : x
  2. Step 2: Convert to fraction form
    8,974.88/13,463.22 = 3,432.89/x
  3. Step 3: Cross multiply
    8,974.88x = 13,463.22 × 3,432.89
  4. Step 4: Simplify right side
    8,974.88x = 46,217,753.31
  5. Step 5: Solve for x
    x = 46,217,753.31/8,974.88
  6. Step 6: Final answer
    x = 5,149.68

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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.