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Finding the Fourth Proportional to 9,269.25, 12,791.57 and 5,543.25

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Solution

The fourth proportional to 9,269.25, 12,791.57 and 5,543.25 is: 7,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.25 : 12,791.57 = 5,543.25 : x
  2. Step 2: Convert to fraction form
    9,269.25/12,791.57 = 5,543.25/x
  3. Step 3: Cross multiply
    9,269.25x = 12,791.57 × 5,543.25
  4. Step 4: Simplify right side
    9,269.25x = 70,906,842.69
  5. Step 5: Solve for x
    x = 70,906,842.69/9,269.25
  6. Step 6: Final answer
    x = 7,649.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.