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Finding the Fourth Proportional to 9,150.72, 13,722 and 2,909.56

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Solution

The fourth proportional to 9,150.72, 13,722 and 2,909.56 is: 4,363.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.72 : 13,722 = 2,909.56 : x
  2. Step 2: Convert to fraction form
    9,150.72/13,722 = 2,909.56/x
  3. Step 3: Cross multiply
    9,150.72x = 13,722 × 2,909.56
  4. Step 4: Simplify right side
    9,150.72x = 39,924,982.32
  5. Step 5: Solve for x
    x = 39,924,982.32/9,150.72
  6. Step 6: Final answer
    x = 4,363.04

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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.