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Finding the Fourth Proportional to 9,231.38, 13,843.65 and 3,683.06

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Solution

The fourth proportional to 9,231.38, 13,843.65 and 3,683.06 is: 5,523.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.38 : 13,843.65 = 3,683.06 : x
  2. Step 2: Convert to fraction form
    9,231.38/13,843.65 = 3,683.06/x
  3. Step 3: Cross multiply
    9,231.38x = 13,843.65 × 3,683.06
  4. Step 4: Simplify right side
    9,231.38x = 50,986,993.57
  5. Step 5: Solve for x
    x = 50,986,993.57/9,231.38
  6. Step 6: Final answer
    x = 5,523.23

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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.