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Finding the Fourth Proportional to 9,321.70, 13,982.52 and 2,747.87

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Solution

The fourth proportional to 9,321.70, 13,982.52 and 2,747.87 is: 4,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.70 : 13,982.52 = 2,747.87 : x
  2. Step 2: Convert to fraction form
    9,321.70/13,982.52 = 2,747.87/x
  3. Step 3: Cross multiply
    9,321.70x = 13,982.52 × 2,747.87
  4. Step 4: Simplify right side
    9,321.70x = 38,422,147.23
  5. Step 5: Solve for x
    x = 38,422,147.23/9,321.70
  6. Step 6: Final answer
    x = 4,121.80

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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.