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Finding the Fourth Proportional to 6,449.53, 9,675.72 and 2,067.43

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Solution

The fourth proportional to 6,449.53, 9,675.72 and 2,067.43 is: 3,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.53 : 9,675.72 = 2,067.43 : x
  2. Step 2: Convert to fraction form
    6,449.53/9,675.72 = 2,067.43/x
  3. Step 3: Cross multiply
    6,449.53x = 9,675.72 × 2,067.43
  4. Step 4: Simplify right side
    6,449.53x = 20,003,873.80
  5. Step 5: Solve for x
    x = 20,003,873.80/6,449.53
  6. Step 6: Final answer
    x = 3,101.60

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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.