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Finding the Fourth Proportional to 9,502.13, 14,247.05 and 5,122.73

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Solution

The fourth proportional to 9,502.13, 14,247.05 and 5,122.73 is: 7,680.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.13 : 14,247.05 = 5,122.73 : x
  2. Step 2: Convert to fraction form
    9,502.13/14,247.05 = 5,122.73/x
  3. Step 3: Cross multiply
    9,502.13x = 14,247.05 × 5,122.73
  4. Step 4: Simplify right side
    9,502.13x = 72,983,693.60
  5. Step 5: Solve for x
    x = 72,983,693.60/9,502.13
  6. Step 6: Final answer
    x = 7,680.78

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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.