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Finding the Fourth Proportional to 8,489.54, 12,734.46 and 2,943.06

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Solution

The fourth proportional to 8,489.54, 12,734.46 and 2,943.06 is: 4,414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.54 : 12,734.46 = 2,943.06 : x
  2. Step 2: Convert to fraction form
    8,489.54/12,734.46 = 2,943.06/x
  3. Step 3: Cross multiply
    8,489.54x = 12,734.46 × 2,943.06
  4. Step 4: Simplify right side
    8,489.54x = 37,478,279.85
  5. Step 5: Solve for x
    x = 37,478,279.85/8,489.54
  6. Step 6: Final answer
    x = 4,414.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.