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Finding the Fourth Proportional to 8,363.84, 12,542.83 and 2,439.09

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Solution

The fourth proportional to 8,363.84, 12,542.83 and 2,439.09 is: 3,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.84 : 12,542.83 = 2,439.09 : x
  2. Step 2: Convert to fraction form
    8,363.84/12,542.83 = 2,439.09/x
  3. Step 3: Cross multiply
    8,363.84x = 12,542.83 × 2,439.09
  4. Step 4: Simplify right side
    8,363.84x = 30,593,085.13
  5. Step 5: Solve for x
    x = 30,593,085.13/8,363.84
  6. Step 6: Final answer
    x = 3,657.78

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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.