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Finding the Fourth Proportional to 8,489.84, 12,734.76 and 2,943.19

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Solution

The fourth proportional to 8,489.84, 12,734.76 and 2,943.19 is: 4,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.84 : 12,734.76 = 2,943.19 : x
  2. Step 2: Convert to fraction form
    8,489.84/12,734.76 = 2,943.19/x
  3. Step 3: Cross multiply
    8,489.84x = 12,734.76 × 2,943.19
  4. Step 4: Simplify right side
    8,489.84x = 37,480,818.28
  5. Step 5: Solve for x
    x = 37,480,818.28/8,489.84
  6. Step 6: Final answer
    x = 4,414.79

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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.