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Finding the Fourth Proportional to 6,961.97, 9,606.62 and 3,977.99

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Solution

The fourth proportional to 6,961.97, 9,606.62 and 3,977.99 is: 5,489.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.97 : 9,606.62 = 3,977.99 : x
  2. Step 2: Convert to fraction form
    6,961.97/9,606.62 = 3,977.99/x
  3. Step 3: Cross multiply
    6,961.97x = 9,606.62 × 3,977.99
  4. Step 4: Simplify right side
    6,961.97x = 38,215,072.26
  5. Step 5: Solve for x
    x = 38,215,072.26/6,961.97
  6. Step 6: Final answer
    x = 5,489.12

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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.