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Finding the Fourth Proportional to 6,451.62, 9,676.13 and 2,291.55

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Solution

The fourth proportional to 6,451.62, 9,676.13 and 2,291.55 is: 3,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.62 : 9,676.13 = 2,291.55 : x
  2. Step 2: Convert to fraction form
    6,451.62/9,676.13 = 2,291.55/x
  3. Step 3: Cross multiply
    6,451.62x = 9,676.13 × 2,291.55
  4. Step 4: Simplify right side
    6,451.62x = 22,173,324.24
  5. Step 5: Solve for x
    x = 22,173,324.24/6,451.62
  6. Step 6: Final answer
    x = 3,436.86

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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.