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Finding the Fourth Proportional to 6,275.34, 9,414.39 and 2,379.78

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Solution

The fourth proportional to 6,275.34, 9,414.39 and 2,379.78 is: 3,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.34 : 9,414.39 = 2,379.78 : x
  2. Step 2: Convert to fraction form
    6,275.34/9,414.39 = 2,379.78/x
  3. Step 3: Cross multiply
    6,275.34x = 9,414.39 × 2,379.78
  4. Step 4: Simplify right side
    6,275.34x = 22,404,177.03
  5. Step 5: Solve for x
    x = 22,404,177.03/6,275.34
  6. Step 6: Final answer
    x = 3,570.19

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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.