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Finding the Fourth Proportional to 6,171.31, 9,261.07 and 3,212.48

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Solution

The fourth proportional to 6,171.31, 9,261.07 and 3,212.48 is: 4,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.31 : 9,261.07 = 3,212.48 : x
  2. Step 2: Convert to fraction form
    6,171.31/9,261.07 = 3,212.48/x
  3. Step 3: Cross multiply
    6,171.31x = 9,261.07 × 3,212.48
  4. Step 4: Simplify right side
    6,171.31x = 29,751,002.15
  5. Step 5: Solve for x
    x = 29,751,002.15/6,171.31
  6. Step 6: Final answer
    x = 4,820.86

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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.