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Finding the Fourth Proportional to 9,227.52, 13,833 and 3,380.04

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Solution

The fourth proportional to 9,227.52, 13,833 and 3,380.04 is: 5,067.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.52 : 13,833 = 3,380.04 : x
  2. Step 2: Convert to fraction form
    9,227.52/13,833 = 3,380.04/x
  3. Step 3: Cross multiply
    9,227.52x = 13,833 × 3,380.04
  4. Step 4: Simplify right side
    9,227.52x = 46,756,093.32
  5. Step 5: Solve for x
    x = 46,756,093.32/9,227.52
  6. Step 6: Final answer
    x = 5,067.03

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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.