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Finding the Fourth Proportional to 6,414.40, 9,617.64 and 2,514.34

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Solution

The fourth proportional to 6,414.40, 9,617.64 and 2,514.34 is: 3,769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.40 : 9,617.64 = 2,514.34 : x
  2. Step 2: Convert to fraction form
    6,414.40/9,617.64 = 2,514.34/x
  3. Step 3: Cross multiply
    6,414.40x = 9,617.64 × 2,514.34
  4. Step 4: Simplify right side
    6,414.40x = 24,182,016.96
  5. Step 5: Solve for x
    x = 24,182,016.96/6,414.40
  6. Step 6: Final answer
    x = 3,769.96

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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.