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Finding the Fourth Proportional to 6,181.49, 9,268.11 and 3,989.02

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Solution

The fourth proportional to 6,181.49, 9,268.11 and 3,989.02 is: 5,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.49 : 9,268.11 = 3,989.02 : x
  2. Step 2: Convert to fraction form
    6,181.49/9,268.11 = 3,989.02/x
  3. Step 3: Cross multiply
    6,181.49x = 9,268.11 × 3,989.02
  4. Step 4: Simplify right side
    6,181.49x = 36,970,676.15
  5. Step 5: Solve for x
    x = 36,970,676.15/6,181.49
  6. Step 6: Final answer
    x = 5,980.87

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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.