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Finding the Fourth Proportional to 9,327.50, 13,991.26 and 3,171.50

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Solution

The fourth proportional to 9,327.50, 13,991.26 and 3,171.50 is: 4,757.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,327.50 : 13,991.26 = 3,171.50 : x
  2. Step 2: Convert to fraction form
    9,327.50/13,991.26 = 3,171.50/x
  3. Step 3: Cross multiply
    9,327.50x = 13,991.26 × 3,171.50
  4. Step 4: Simplify right side
    9,327.50x = 44,373,281.09
  5. Step 5: Solve for x
    x = 44,373,281.09/9,327.50
  6. Step 6: Final answer
    x = 4,757.25

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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.