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Finding the Fourth Proportional to 9,238.20, 13,828.67 and 7,468.44

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Solution

The fourth proportional to 9,238.20, 13,828.67 and 7,468.44 is: 11,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.20 : 13,828.67 = 7,468.44 : x
  2. Step 2: Convert to fraction form
    9,238.20/13,828.67 = 7,468.44/x
  3. Step 3: Cross multiply
    9,238.20x = 13,828.67 × 7,468.44
  4. Step 4: Simplify right side
    9,238.20x = 103,278,554.83
  5. Step 5: Solve for x
    x = 103,278,554.83/9,238.20
  6. Step 6: Final answer
    x = 11,179.51

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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.