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Finding the Fourth Proportional to 8,437.32, 12,644.97 and 6,105.18

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Solution

The fourth proportional to 8,437.32, 12,644.97 and 6,105.18 is: 9,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.32 : 12,644.97 = 6,105.18 : x
  2. Step 2: Convert to fraction form
    8,437.32/12,644.97 = 6,105.18/x
  3. Step 3: Cross multiply
    8,437.32x = 12,644.97 × 6,105.18
  4. Step 4: Simplify right side
    8,437.32x = 77,199,817.94
  5. Step 5: Solve for x
    x = 77,199,817.94/8,437.32
  6. Step 6: Final answer
    x = 9,149.80

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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.