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Finding the Fourth Proportional to 6,067.14, 8,372.65 and 3,414.57

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Solution

The fourth proportional to 6,067.14, 8,372.65 and 3,414.57 is: 4,712.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,067.14 : 8,372.65 = 3,414.57 : x
  2. Step 2: Convert to fraction form
    6,067.14/8,372.65 = 3,414.57/x
  3. Step 3: Cross multiply
    6,067.14x = 8,372.65 × 3,414.57
  4. Step 4: Simplify right side
    6,067.14x = 28,588,999.51
  5. Step 5: Solve for x
    x = 28,588,999.51/6,067.14
  6. Step 6: Final answer
    x = 4,712.10

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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.