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Finding the Fourth Proportional to 9,221.38, 13,832.20 and 2,295.88

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Solution

The fourth proportional to 9,221.38, 13,832.20 and 2,295.88 is: 3,443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.38 : 13,832.20 = 2,295.88 : x
  2. Step 2: Convert to fraction form
    9,221.38/13,832.20 = 2,295.88/x
  3. Step 3: Cross multiply
    9,221.38x = 13,832.20 × 2,295.88
  4. Step 4: Simplify right side
    9,221.38x = 31,757,071.34
  5. Step 5: Solve for x
    x = 31,757,071.34/9,221.38
  6. Step 6: Final answer
    x = 3,443.85

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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.