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Finding the Fourth Proportional to 6,791.76, 9,373.68 and 3,808.80

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Solution

The fourth proportional to 6,791.76, 9,373.68 and 3,808.80 is: 5,256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.76 : 9,373.68 = 3,808.80 : x
  2. Step 2: Convert to fraction form
    6,791.76/9,373.68 = 3,808.80/x
  3. Step 3: Cross multiply
    6,791.76x = 9,373.68 × 3,808.80
  4. Step 4: Simplify right side
    6,791.76x = 35,702,472.38
  5. Step 5: Solve for x
    x = 35,702,472.38/6,791.76
  6. Step 6: Final answer
    x = 5,256.73

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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.