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Finding the Fourth Proportional to 6,171.54, 9,255.48 and 3,399.53

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Solution

The fourth proportional to 6,171.54, 9,255.48 and 3,399.53 is: 5,098.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.54 : 9,255.48 = 3,399.53 : x
  2. Step 2: Convert to fraction form
    6,171.54/9,255.48 = 3,399.53/x
  3. Step 3: Cross multiply
    6,171.54x = 9,255.48 × 3,399.53
  4. Step 4: Simplify right side
    6,171.54x = 31,464,235.65
  5. Step 5: Solve for x
    x = 31,464,235.65/6,171.54
  6. Step 6: Final answer
    x = 5,098.28

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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.