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Finding the Fourth Proportional to 6,451.32, 9,676.35 and 2,067.60

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Solution

The fourth proportional to 6,451.32, 9,676.35 and 2,067.60 is: 3,101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.32 : 9,676.35 = 2,067.60 : x
  2. Step 2: Convert to fraction form
    6,451.32/9,676.35 = 2,067.60/x
  3. Step 3: Cross multiply
    6,451.32x = 9,676.35 × 2,067.60
  4. Step 4: Simplify right side
    6,451.32x = 20,006,821.26
  5. Step 5: Solve for x
    x = 20,006,821.26/6,451.32
  6. Step 6: Final answer
    x = 3,101.20

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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.