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Finding the Fourth Proportional to 6,327.15, 9,489.83 and 3,980.00

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Solution

The fourth proportional to 6,327.15, 9,489.83 and 3,980.00 is: 5,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.15 : 9,489.83 = 3,980.00 : x
  2. Step 2: Convert to fraction form
    6,327.15/9,489.83 = 3,980.00/x
  3. Step 3: Cross multiply
    6,327.15x = 9,489.83 × 3,980.00
  4. Step 4: Simplify right side
    6,327.15x = 37,769,456.05
  5. Step 5: Solve for x
    x = 37,769,456.05/6,327.15
  6. Step 6: Final answer
    x = 5,969.43

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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.