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Finding the Fourth Proportional to 6,231.15, 9,353.48 and 5,542.25

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Solution

The fourth proportional to 6,231.15, 9,353.48 and 5,542.25 is: 8,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.15 : 9,353.48 = 5,542.25 : x
  2. Step 2: Convert to fraction form
    6,231.15/9,353.48 = 5,542.25/x
  3. Step 3: Cross multiply
    6,231.15x = 9,353.48 × 5,542.25
  4. Step 4: Simplify right side
    6,231.15x = 51,839,250.05
  5. Step 5: Solve for x
    x = 51,839,250.05/6,231.15
  6. Step 6: Final answer
    x = 8,319.37

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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.