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Finding the Fourth Proportional to 6,408.14, 9,612.69 and 2,248.46

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Solution

The fourth proportional to 6,408.14, 9,612.69 and 2,248.46 is: 3,372.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.14 : 9,612.69 = 2,248.46 : x
  2. Step 2: Convert to fraction form
    6,408.14/9,612.69 = 2,248.46/x
  3. Step 3: Cross multiply
    6,408.14x = 9,612.69 × 2,248.46
  4. Step 4: Simplify right side
    6,408.14x = 21,613,748.96
  5. Step 5: Solve for x
    x = 21,613,748.96/6,408.14
  6. Step 6: Final answer
    x = 3,372.86

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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.