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Finding the Fourth Proportional to 8,306.10, 12,459.15 and 6,337.80

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Solution

The fourth proportional to 8,306.10, 12,459.15 and 6,337.80 is: 9,506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.10 : 12,459.15 = 6,337.80 : x
  2. Step 2: Convert to fraction form
    8,306.10/12,459.15 = 6,337.80/x
  3. Step 3: Cross multiply
    8,306.10x = 12,459.15 × 6,337.80
  4. Step 4: Simplify right side
    8,306.10x = 78,963,600.87
  5. Step 5: Solve for x
    x = 78,963,600.87/8,306.10
  6. Step 6: Final answer
    x = 9,506.70

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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.