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Finding the Fourth Proportional to 6,449.36, 9,673.92 and 2,067.16

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Solution

The fourth proportional to 6,449.36, 9,673.92 and 2,067.16 is: 3,100.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.36 : 9,673.92 = 2,067.16 : x
  2. Step 2: Convert to fraction form
    6,449.36/9,673.92 = 2,067.16/x
  3. Step 3: Cross multiply
    6,449.36x = 9,673.92 × 2,067.16
  4. Step 4: Simplify right side
    6,449.36x = 19,997,540.47
  5. Step 5: Solve for x
    x = 19,997,540.47/6,449.36
  6. Step 6: Final answer
    x = 3,100.70

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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.