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Finding the Fourth Proportional to 8,014.52, 12,027.65 and 6,472.95

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Solution

The fourth proportional to 8,014.52, 12,027.65 and 6,472.95 is: 9,714.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.52 : 12,027.65 = 6,472.95 : x
  2. Step 2: Convert to fraction form
    8,014.52/12,027.65 = 6,472.95/x
  3. Step 3: Cross multiply
    8,014.52x = 12,027.65 × 6,472.95
  4. Step 4: Simplify right side
    8,014.52x = 77,854,344.70
  5. Step 5: Solve for x
    x = 77,854,344.70/8,014.52
  6. Step 6: Final answer
    x = 9,714.17

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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.