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Finding the Fourth Proportional to 8,996.32, 12,416.64 and 5,414.19

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Solution

The fourth proportional to 8,996.32, 12,416.64 and 5,414.19 is: 7,472.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.32 : 12,416.64 = 5,414.19 : x
  2. Step 2: Convert to fraction form
    8,996.32/12,416.64 = 5,414.19/x
  3. Step 3: Cross multiply
    8,996.32x = 12,416.64 × 5,414.19
  4. Step 4: Simplify right side
    8,996.32x = 67,226,081.55
  5. Step 5: Solve for x
    x = 67,226,081.55/8,996.32
  6. Step 6: Final answer
    x = 7,472.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.