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Finding the Fourth Proportional to 6,227.89, 9,335.79 and 4,000.43

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Solution

The fourth proportional to 6,227.89, 9,335.79 and 4,000.43 is: 5,996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.89 : 9,335.79 = 4,000.43 : x
  2. Step 2: Convert to fraction form
    6,227.89/9,335.79 = 4,000.43/x
  3. Step 3: Cross multiply
    6,227.89x = 9,335.79 × 4,000.43
  4. Step 4: Simplify right side
    6,227.89x = 37,347,197.73
  5. Step 5: Solve for x
    x = 37,347,197.73/6,227.89
  6. Step 6: Final answer
    x = 5,996.77

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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.