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Finding the Fourth Proportional to 6,576.38, 9,863.22 and 2,414.96

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Solution

The fourth proportional to 6,576.38, 9,863.22 and 2,414.96 is: 3,621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.38 : 9,863.22 = 2,414.96 : x
  2. Step 2: Convert to fraction form
    6,576.38/9,863.22 = 2,414.96/x
  3. Step 3: Cross multiply
    6,576.38x = 9,863.22 × 2,414.96
  4. Step 4: Simplify right side
    6,576.38x = 23,819,281.77
  5. Step 5: Solve for x
    x = 23,819,281.77/6,576.38
  6. Step 6: Final answer
    x = 3,621.94

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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.