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Finding the Fourth Proportional to 6,099.25, 9,150.06 and 2,589.24

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Solution

The fourth proportional to 6,099.25, 9,150.06 and 2,589.24 is: 3,884.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.25 : 9,150.06 = 2,589.24 : x
  2. Step 2: Convert to fraction form
    6,099.25/9,150.06 = 2,589.24/x
  3. Step 3: Cross multiply
    6,099.25x = 9,150.06 × 2,589.24
  4. Step 4: Simplify right side
    6,099.25x = 23,691,719.64
  5. Step 5: Solve for x
    x = 23,691,719.64/6,099.25
  6. Step 6: Final answer
    x = 3,884.37

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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.