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Finding the Fourth Proportional to 6,067.98, 9,096.39 and 3,140.28

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Solution

The fourth proportional to 6,067.98, 9,096.39 and 3,140.28 is: 4,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,067.98 : 9,096.39 = 3,140.28 : x
  2. Step 2: Convert to fraction form
    6,067.98/9,096.39 = 3,140.28/x
  3. Step 3: Cross multiply
    6,067.98x = 9,096.39 × 3,140.28
  4. Step 4: Simplify right side
    6,067.98x = 28,565,211.59
  5. Step 5: Solve for x
    x = 28,565,211.59/6,067.98
  6. Step 6: Final answer
    x = 4,707.53

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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.