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Finding the Fourth Proportional to 6,067.31, 9,100.97 and 3,468.42

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Solution

The fourth proportional to 6,067.31, 9,100.97 and 3,468.42 is: 5,202.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,067.31 : 9,100.97 = 3,468.42 : x
  2. Step 2: Convert to fraction form
    6,067.31/9,100.97 = 3,468.42/x
  3. Step 3: Cross multiply
    6,067.31x = 9,100.97 × 3,468.42
  4. Step 4: Simplify right side
    6,067.31x = 31,565,969.03
  5. Step 5: Solve for x
    x = 31,565,969.03/6,067.31
  6. Step 6: Final answer
    x = 5,202.63

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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.