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Finding the Fourth Proportional to 9,104.74, 13,657.59 and 5,212.90

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Solution

The fourth proportional to 9,104.74, 13,657.59 and 5,212.90 is: 7,819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.74 : 13,657.59 = 5,212.90 : x
  2. Step 2: Convert to fraction form
    9,104.74/13,657.59 = 5,212.90/x
  3. Step 3: Cross multiply
    9,104.74x = 13,657.59 × 5,212.90
  4. Step 4: Simplify right side
    9,104.74x = 71,195,650.91
  5. Step 5: Solve for x
    x = 71,195,650.91/9,104.74
  6. Step 6: Final answer
    x = 7,819.62

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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.