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Finding the Fourth Proportional to 8,972.32, 13,451.84 and 4,352

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Solution

The fourth proportional to 8,972.32, 13,451.84 and 4,352 is: 6,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.32 : 13,451.84 = 4,352 : x
  2. Step 2: Convert to fraction form
    8,972.32/13,451.84 = 4,352/x
  3. Step 3: Cross multiply
    8,972.32x = 13,451.84 × 4,352
  4. Step 4: Simplify right side
    8,972.32x = 58,542,407.68
  5. Step 5: Solve for x
    x = 58,542,407.68/8,972.32
  6. Step 6: Final answer
    x = 6,524.78

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