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Finding the Fourth Proportional to 9,791.37, 13,512.75 and 5,542.41

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Solution

The fourth proportional to 9,791.37, 13,512.75 and 5,542.41 is: 7,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.37 : 13,512.75 = 5,542.41 : x
  2. Step 2: Convert to fraction form
    9,791.37/13,512.75 = 5,542.41/x
  3. Step 3: Cross multiply
    9,791.37x = 13,512.75 × 5,542.41
  4. Step 4: Simplify right side
    9,791.37x = 74,893,200.73
  5. Step 5: Solve for x
    x = 74,893,200.73/9,791.37
  6. Step 6: Final answer
    x = 7,648.90

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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.