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Finding the Fourth Proportional to 9,223.43, 13,833.69 and 3,378.68

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Solution

The fourth proportional to 9,223.43, 13,833.69 and 3,378.68 is: 5,067.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.43 : 13,833.69 = 3,378.68 : x
  2. Step 2: Convert to fraction form
    9,223.43/13,833.69 = 3,378.68/x
  3. Step 3: Cross multiply
    9,223.43x = 13,833.69 × 3,378.68
  4. Step 4: Simplify right side
    9,223.43x = 46,739,542.56
  5. Step 5: Solve for x
    x = 46,739,542.56/9,223.43
  6. Step 6: Final answer
    x = 5,067.48

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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.