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Finding the Fourth Proportional to 9,074.30, 13,609.17 and 3,229.54

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Solution

The fourth proportional to 9,074.30, 13,609.17 and 3,229.54 is: 4,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.30 : 13,609.17 = 3,229.54 : x
  2. Step 2: Convert to fraction form
    9,074.30/13,609.17 = 3,229.54/x
  3. Step 3: Cross multiply
    9,074.30x = 13,609.17 × 3,229.54
  4. Step 4: Simplify right side
    9,074.30x = 43,951,377.73
  5. Step 5: Solve for x
    x = 43,951,377.73/9,074.30
  6. Step 6: Final answer
    x = 4,843.50

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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.