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Finding the Fourth Proportional to 9,197.92, 13,791.75 and 5,451.22

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Solution

The fourth proportional to 9,197.92, 13,791.75 and 5,451.22 is: 8,173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.92 : 13,791.75 = 5,451.22 : x
  2. Step 2: Convert to fraction form
    9,197.92/13,791.75 = 5,451.22/x
  3. Step 3: Cross multiply
    9,197.92x = 13,791.75 × 5,451.22
  4. Step 4: Simplify right side
    9,197.92x = 75,181,863.44
  5. Step 5: Solve for x
    x = 75,181,863.44/9,197.92
  6. Step 6: Final answer
    x = 8,173.79

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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.