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Finding the Fourth Proportional to 6,687.89, 9,229.37 and 3,703.78

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Solution

The fourth proportional to 6,687.89, 9,229.37 and 3,703.78 is: 5,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.89 : 9,229.37 = 3,703.78 : x
  2. Step 2: Convert to fraction form
    6,687.89/9,229.37 = 3,703.78/x
  3. Step 3: Cross multiply
    6,687.89x = 9,229.37 × 3,703.78
  4. Step 4: Simplify right side
    6,687.89x = 34,183,507.54
  5. Step 5: Solve for x
    x = 34,183,507.54/6,687.89
  6. Step 6: Final answer
    x = 5,111.25

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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.