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Finding the Fourth Proportional to 6,739.83, 9,301.32 and 3,755.97

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Solution

The fourth proportional to 6,739.83, 9,301.32 and 3,755.97 is: 5,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.83 : 9,301.32 = 3,755.97 : x
  2. Step 2: Convert to fraction form
    6,739.83/9,301.32 = 3,755.97/x
  3. Step 3: Cross multiply
    6,739.83x = 9,301.32 × 3,755.97
  4. Step 4: Simplify right side
    6,739.83x = 34,935,478.88
  5. Step 5: Solve for x
    x = 34,935,478.88/6,739.83
  6. Step 6: Final answer
    x = 5,183.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.