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Finding the Fourth Proportional to 6,067.29, 9,102.87 and 3,104.40

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Solution

The fourth proportional to 6,067.29, 9,102.87 and 3,104.40 is: 4,657.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,067.29 : 9,102.87 = 3,104.40 : x
  2. Step 2: Convert to fraction form
    6,067.29/9,102.87 = 3,104.40/x
  3. Step 3: Cross multiply
    6,067.29x = 9,102.87 × 3,104.40
  4. Step 4: Simplify right side
    6,067.29x = 28,258,949.63
  5. Step 5: Solve for x
    x = 28,258,949.63/6,067.29
  6. Step 6: Final answer
    x = 4,657.59

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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.