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Finding the Fourth Proportional to 6,242.38, 9,369.24 and 3,323.14

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Solution

The fourth proportional to 6,242.38, 9,369.24 and 3,323.14 is: 4,987.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.38 : 9,369.24 = 3,323.14 : x
  2. Step 2: Convert to fraction form
    6,242.38/9,369.24 = 3,323.14/x
  3. Step 3: Cross multiply
    6,242.38x = 9,369.24 × 3,323.14
  4. Step 4: Simplify right side
    6,242.38x = 31,135,296.21
  5. Step 5: Solve for x
    x = 31,135,296.21/6,242.38
  6. Step 6: Final answer
    x = 4,987.73

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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.