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Finding the Fourth Proportional to 9,230.38, 13,842.15 and 3,682.06

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Solution

The fourth proportional to 9,230.38, 13,842.15 and 3,682.06 is: 5,521.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.38 : 13,842.15 = 3,682.06 : x
  2. Step 2: Convert to fraction form
    9,230.38/13,842.15 = 3,682.06/x
  3. Step 3: Cross multiply
    9,230.38x = 13,842.15 × 3,682.06
  4. Step 4: Simplify right side
    9,230.38x = 50,967,626.83
  5. Step 5: Solve for x
    x = 50,967,626.83/9,230.38
  6. Step 6: Final answer
    x = 5,521.73

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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.