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Finding the Fourth Proportional to 9,697.20, 14,500.85 and 7,357.73

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Solution

The fourth proportional to 9,697.20, 14,500.85 and 7,357.73 is: 11,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.20 : 14,500.85 = 7,357.73 : x
  2. Step 2: Convert to fraction form
    9,697.20/14,500.85 = 7,357.73/x
  3. Step 3: Cross multiply
    9,697.20x = 14,500.85 × 7,357.73
  4. Step 4: Simplify right side
    9,697.20x = 106,693,229.78
  5. Step 5: Solve for x
    x = 106,693,229.78/9,697.20
  6. Step 6: Final answer
    x = 11,002.48

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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.