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Finding the Fourth Proportional to 8,971.38, 13,459.12 and 2,732.28

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Solution

The fourth proportional to 8,971.38, 13,459.12 and 2,732.28 is: 4,099.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.38 : 13,459.12 = 2,732.28 : x
  2. Step 2: Convert to fraction form
    8,971.38/13,459.12 = 2,732.28/x
  3. Step 3: Cross multiply
    8,971.38x = 13,459.12 × 2,732.28
  4. Step 4: Simplify right side
    8,971.38x = 36,774,084.39
  5. Step 5: Solve for x
    x = 36,774,084.39/8,971.38
  6. Step 6: Final answer
    x = 4,099.04

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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.