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Finding the Fourth Proportional to 6,165.42, 9,233.46 and 3,388.02

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Solution

The fourth proportional to 6,165.42, 9,233.46 and 3,388.02 is: 5,073.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.42 : 9,233.46 = 3,388.02 : x
  2. Step 2: Convert to fraction form
    6,165.42/9,233.46 = 3,388.02/x
  3. Step 3: Cross multiply
    6,165.42x = 9,233.46 × 3,388.02
  4. Step 4: Simplify right side
    6,165.42x = 31,283,147.15
  5. Step 5: Solve for x
    x = 31,283,147.15/6,165.42
  6. Step 6: Final answer
    x = 5,073.97

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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.