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Finding the Fourth Proportional to 9,227.78, 13,842.39 and 3,384.26

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Solution

The fourth proportional to 9,227.78, 13,842.39 and 3,384.26 is: 5,076.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.78 : 13,842.39 = 3,384.26 : x
  2. Step 2: Convert to fraction form
    9,227.78/13,842.39 = 3,384.26/x
  3. Step 3: Cross multiply
    9,227.78x = 13,842.39 × 3,384.26
  4. Step 4: Simplify right side
    9,227.78x = 46,846,246.78
  5. Step 5: Solve for x
    x = 46,846,246.78/9,227.78
  6. Step 6: Final answer
    x = 5,076.65

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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.