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Finding the Fourth Proportional to 6,808.97, 9,397.39 and 4,157.91

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Solution

The fourth proportional to 6,808.97, 9,397.39 and 4,157.91 is: 5,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.97 : 9,397.39 = 4,157.91 : x
  2. Step 2: Convert to fraction form
    6,808.97/9,397.39 = 4,157.91/x
  3. Step 3: Cross multiply
    6,808.97x = 9,397.39 × 4,157.91
  4. Step 4: Simplify right side
    6,808.97x = 39,073,491.46
  5. Step 5: Solve for x
    x = 39,073,491.46/6,808.97
  6. Step 6: Final answer
    x = 5,738.54

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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.