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Finding the Fourth Proportional to 8,296.72, 12,442.56 and 3,909.76

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Solution

The fourth proportional to 8,296.72, 12,442.56 and 3,909.76 is: 5,863.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.72 : 12,442.56 = 3,909.76 : x
  2. Step 2: Convert to fraction form
    8,296.72/12,442.56 = 3,909.76/x
  3. Step 3: Cross multiply
    8,296.72x = 12,442.56 × 3,909.76
  4. Step 4: Simplify right side
    8,296.72x = 48,647,423.39
  5. Step 5: Solve for x
    x = 48,647,423.39/8,296.72
  6. Step 6: Final answer
    x = 5,863.45

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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.