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Finding the Fourth Proportional to 27,793.70, 41,693.32 and 9,072.98

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Solution

The fourth proportional to 27,793.70, 41,693.32 and 9,072.98 is: 13,610.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,793.70 : 41,693.32 = 9,072.98 : x
  2. Step 2: Convert to fraction form
    27,793.70/41,693.32 = 9,072.98/x
  3. Step 3: Cross multiply
    27,793.70x = 41,693.32 × 9,072.98
  4. Step 4: Simplify right side
    27,793.70x = 378,282,658.49
  5. Step 5: Solve for x
    x = 378,282,658.49/27,793.70
  6. Step 6: Final answer
    x = 13,610.37

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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.