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Finding the Fourth Proportional to 9,322.97, 13,982.93 and 2,747.62

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Solution

The fourth proportional to 9,322.97, 13,982.93 and 2,747.62 is: 4,120.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.97 : 13,982.93 = 2,747.62 : x
  2. Step 2: Convert to fraction form
    9,322.97/13,982.93 = 2,747.62/x
  3. Step 3: Cross multiply
    9,322.97x = 13,982.93 × 2,747.62
  4. Step 4: Simplify right side
    9,322.97x = 38,419,778.13
  5. Step 5: Solve for x
    x = 38,419,778.13/9,322.97
  6. Step 6: Final answer
    x = 4,120.98

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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.