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Finding the Fourth Proportional to 8,489.43, 12,737.12 and 3,298.95

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Solution

The fourth proportional to 8,489.43, 12,737.12 and 3,298.95 is: 4,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.43 : 12,737.12 = 3,298.95 : x
  2. Step 2: Convert to fraction form
    8,489.43/12,737.12 = 3,298.95/x
  3. Step 3: Cross multiply
    8,489.43x = 12,737.12 × 3,298.95
  4. Step 4: Simplify right side
    8,489.43x = 42,019,122.02
  5. Step 5: Solve for x
    x = 42,019,122.02/8,489.43
  6. Step 6: Final answer
    x = 4,949.58

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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.