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Finding the Fourth Proportional to 6,452.32, 9,676.40 and 2,069.60

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Solution

The fourth proportional to 6,452.32, 9,676.40 and 2,069.60 is: 3,103.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.32 : 9,676.40 = 2,069.60 : x
  2. Step 2: Convert to fraction form
    6,452.32/9,676.40 = 2,069.60/x
  3. Step 3: Cross multiply
    6,452.32x = 9,676.40 × 2,069.60
  4. Step 4: Simplify right side
    6,452.32x = 20,026,277.44
  5. Step 5: Solve for x
    x = 20,026,277.44/6,452.32
  6. Step 6: Final answer
    x = 3,103.73

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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.