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Finding the Fourth Proportional to 6,157.25, 9,233.83 and 1,996.26

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Solution

The fourth proportional to 6,157.25, 9,233.83 and 1,996.26 is: 2,993.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.25 : 9,233.83 = 1,996.26 : x
  2. Step 2: Convert to fraction form
    6,157.25/9,233.83 = 1,996.26/x
  3. Step 3: Cross multiply
    6,157.25x = 9,233.83 × 1,996.26
  4. Step 4: Simplify right side
    6,157.25x = 18,433,125.48
  5. Step 5: Solve for x
    x = 18,433,125.48/6,157.25
  6. Step 6: Final answer
    x = 2,993.73

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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.