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Finding the Fourth Proportional to 6,451.25, 9,676.38 and 2,067.53

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Solution

The fourth proportional to 6,451.25, 9,676.38 and 2,067.53 is: 3,101.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.25 : 9,676.38 = 2,067.53 : x
  2. Step 2: Convert to fraction form
    6,451.25/9,676.38 = 2,067.53/x
  3. Step 3: Cross multiply
    6,451.25x = 9,676.38 × 2,067.53
  4. Step 4: Simplify right side
    6,451.25x = 20,006,205.94
  5. Step 5: Solve for x
    x = 20,006,205.94/6,451.25
  6. Step 6: Final answer
    x = 3,101.14

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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.