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Finding the Fourth Proportional to 6,067.38, 9,103.62 and 3,296

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Solution

The fourth proportional to 6,067.38, 9,103.62 and 3,296 is: 4,945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,067.38 : 9,103.62 = 3,296 : x
  2. Step 2: Convert to fraction form
    6,067.38/9,103.62 = 3,296/x
  3. Step 3: Cross multiply
    6,067.38x = 9,103.62 × 3,296
  4. Step 4: Simplify right side
    6,067.38x = 30,005,531.52
  5. Step 5: Solve for x
    x = 30,005,531.52/6,067.38
  6. Step 6: Final answer
    x = 4,945.39

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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.