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Finding the Fourth Proportional to 8,272.35, 12,396.83 and 6,414.82

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Solution

The fourth proportional to 8,272.35, 12,396.83 and 6,414.82 is: 9,613.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.35 : 12,396.83 = 6,414.82 : x
  2. Step 2: Convert to fraction form
    8,272.35/12,396.83 = 6,414.82/x
  3. Step 3: Cross multiply
    8,272.35x = 12,396.83 × 6,414.82
  4. Step 4: Simplify right side
    8,272.35x = 79,523,433.02
  5. Step 5: Solve for x
    x = 79,523,433.02/8,272.35
  6. Step 6: Final answer
    x = 9,613.16

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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.