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Finding the Fourth Proportional to 6,531.96, 9,010.74 and 4,171.60

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Solution

The fourth proportional to 6,531.96, 9,010.74 and 4,171.60 is: 5,754.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.96 : 9,010.74 = 4,171.60 : x
  2. Step 2: Convert to fraction form
    6,531.96/9,010.74 = 4,171.60/x
  3. Step 3: Cross multiply
    6,531.96x = 9,010.74 × 4,171.60
  4. Step 4: Simplify right side
    6,531.96x = 37,589,202.98
  5. Step 5: Solve for x
    x = 37,589,202.98/6,531.96
  6. Step 6: Final answer
    x = 5,754.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.