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Finding the Fourth Proportional to 8,489.24, 12,729.22 and 2,942.12

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Solution

The fourth proportional to 8,489.24, 12,729.22 and 2,942.12 is: 4,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.24 : 12,729.22 = 2,942.12 : x
  2. Step 2: Convert to fraction form
    8,489.24/12,729.22 = 2,942.12/x
  3. Step 3: Cross multiply
    8,489.24x = 12,729.22 × 2,942.12
  4. Step 4: Simplify right side
    8,489.24x = 37,450,892.75
  5. Step 5: Solve for x
    x = 37,450,892.75/8,489.24
  6. Step 6: Final answer
    x = 4,411.57

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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.