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Finding the Fourth Proportional to 9,791.46, 13,512.28 and 5,542.54

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Solution

The fourth proportional to 9,791.46, 13,512.28 and 5,542.54 is: 7,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.46 : 13,512.28 = 5,542.54 : x
  2. Step 2: Convert to fraction form
    9,791.46/13,512.28 = 5,542.54/x
  3. Step 3: Cross multiply
    9,791.46x = 13,512.28 × 5,542.54
  4. Step 4: Simplify right side
    9,791.46x = 74,892,352.39
  5. Step 5: Solve for x
    x = 74,892,352.39/9,791.46
  6. Step 6: Final answer
    x = 7,648.74

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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.