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Finding the Fourth Proportional to 9,728.39, 14,591.07 and 3,488.27

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Solution

The fourth proportional to 9,728.39, 14,591.07 and 3,488.27 is: 5,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.39 : 14,591.07 = 3,488.27 : x
  2. Step 2: Convert to fraction form
    9,728.39/14,591.07 = 3,488.27/x
  3. Step 3: Cross multiply
    9,728.39x = 14,591.07 × 3,488.27
  4. Step 4: Simplify right side
    9,728.39x = 50,897,518.79
  5. Step 5: Solve for x
    x = 50,897,518.79/9,728.39
  6. Step 6: Final answer
    x = 5,231.85

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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.