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Finding the Fourth Proportional to 6,213.80, 8,576.94 and 4,227.27

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Solution

The fourth proportional to 6,213.80, 8,576.94 and 4,227.27 is: 5,834.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.80 : 8,576.94 = 4,227.27 : x
  2. Step 2: Convert to fraction form
    6,213.80/8,576.94 = 4,227.27/x
  3. Step 3: Cross multiply
    6,213.80x = 8,576.94 × 4,227.27
  4. Step 4: Simplify right side
    6,213.80x = 36,257,041.15
  5. Step 5: Solve for x
    x = 36,257,041.15/6,213.80
  6. Step 6: Final answer
    x = 5,834.93

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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.