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Finding the Fourth Proportional to 9,193.44, 13,791.92 and 3,645.68

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Solution

The fourth proportional to 9,193.44, 13,791.92 and 3,645.68 is: 5,469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.44 : 13,791.92 = 3,645.68 : x
  2. Step 2: Convert to fraction form
    9,193.44/13,791.92 = 3,645.68/x
  3. Step 3: Cross multiply
    9,193.44x = 13,791.92 × 3,645.68
  4. Step 4: Simplify right side
    9,193.44x = 50,280,926.91
  5. Step 5: Solve for x
    x = 50,280,926.91/9,193.44
  6. Step 6: Final answer
    x = 5,469.22

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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.