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Finding the Fourth Proportional to 9,728.20, 14,591.10 and 2,708.74

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Solution

The fourth proportional to 9,728.20, 14,591.10 and 2,708.74 is: 4,062.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.20 : 14,591.10 = 2,708.74 : x
  2. Step 2: Convert to fraction form
    9,728.20/14,591.10 = 2,708.74/x
  3. Step 3: Cross multiply
    9,728.20x = 14,591.10 × 2,708.74
  4. Step 4: Simplify right side
    9,728.20x = 39,523,496.21
  5. Step 5: Solve for x
    x = 39,523,496.21/9,728.20
  6. Step 6: Final answer
    x = 4,062.78

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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.