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Finding the Fourth Proportional to 6,214.40, 8,576.16 and 4,227.20

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Solution

The fourth proportional to 6,214.40, 8,576.16 and 4,227.20 is: 5,833.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.40 : 8,576.16 = 4,227.20 : x
  2. Step 2: Convert to fraction form
    6,214.40/8,576.16 = 4,227.20/x
  3. Step 3: Cross multiply
    6,214.40x = 8,576.16 × 4,227.20
  4. Step 4: Simplify right side
    6,214.40x = 36,253,143.55
  5. Step 5: Solve for x
    x = 36,253,143.55/6,214.40
  6. Step 6: Final answer
    x = 5,833.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.