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Finding the Fourth Proportional to 6,731.89, 9,295.01 and 4,082.89

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Solution

The fourth proportional to 6,731.89, 9,295.01 and 4,082.89 is: 5,637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.89 : 9,295.01 = 4,082.89 : x
  2. Step 2: Convert to fraction form
    6,731.89/9,295.01 = 4,082.89/x
  3. Step 3: Cross multiply
    6,731.89x = 9,295.01 × 4,082.89
  4. Step 4: Simplify right side
    6,731.89x = 37,950,436.49
  5. Step 5: Solve for x
    x = 37,950,436.49/6,731.89
  6. Step 6: Final answer
    x = 5,637.42

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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.