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Finding the Fourth Proportional to 8,134.49, 12,168.32 and 6,494.24

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Solution

The fourth proportional to 8,134.49, 12,168.32 and 6,494.24 is: 9,714.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.49 : 12,168.32 = 6,494.24 : x
  2. Step 2: Convert to fraction form
    8,134.49/12,168.32 = 6,494.24/x
  3. Step 3: Cross multiply
    8,134.49x = 12,168.32 × 6,494.24
  4. Step 4: Simplify right side
    8,134.49x = 79,024,006.71
  5. Step 5: Solve for x
    x = 79,024,006.71/8,134.49
  6. Step 6: Final answer
    x = 9,714.68

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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.