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Finding the Fourth Proportional to 6,408.90, 9,613.94 and 2,027

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Solution

The fourth proportional to 6,408.90, 9,613.94 and 2,027 is: 3,040.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.90 : 9,613.94 = 2,027 : x
  2. Step 2: Convert to fraction form
    6,408.90/9,613.94 = 2,027/x
  3. Step 3: Cross multiply
    6,408.90x = 9,613.94 × 2,027
  4. Step 4: Simplify right side
    6,408.90x = 19,487,456.38
  5. Step 5: Solve for x
    x = 19,487,456.38/6,408.90
  6. Step 6: Final answer
    x = 3,040.69

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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.