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Finding the Fourth Proportional to 6,149.64, 9,214.92 and 4,067.40

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Solution

The fourth proportional to 6,149.64, 9,214.92 and 4,067.40 is: 6,094.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.64 : 9,214.92 = 4,067.40 : x
  2. Step 2: Convert to fraction form
    6,149.64/9,214.92 = 4,067.40/x
  3. Step 3: Cross multiply
    6,149.64x = 9,214.92 × 4,067.40
  4. Step 4: Simplify right side
    6,149.64x = 37,480,765.61
  5. Step 5: Solve for x
    x = 37,480,765.61/6,149.64
  6. Step 6: Final answer
    x = 6,094.79

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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.