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Finding the Fourth Proportional to 6,882.37, 9,499.37 and 3,899.97

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Solution

The fourth proportional to 6,882.37, 9,499.37 and 3,899.97 is: 5,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.37 : 9,499.37 = 3,899.97 : x
  2. Step 2: Convert to fraction form
    6,882.37/9,499.37 = 3,899.97/x
  3. Step 3: Cross multiply
    6,882.37x = 9,499.37 × 3,899.97
  4. Step 4: Simplify right side
    6,882.37x = 37,047,258.02
  5. Step 5: Solve for x
    x = 37,047,258.02/6,882.37
  6. Step 6: Final answer
    x = 5,382.92

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Why These Related Problems?

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