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Finding the Fourth Proportional to 6,780.42, 9,357.21 and 3,796.38

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Solution

The fourth proportional to 6,780.42, 9,357.21 and 3,796.38 is: 5,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.42 : 9,357.21 = 3,796.38 : x
  2. Step 2: Convert to fraction form
    6,780.42/9,357.21 = 3,796.38/x
  3. Step 3: Cross multiply
    6,780.42x = 9,357.21 × 3,796.38
  4. Step 4: Simplify right side
    6,780.42x = 35,523,524.90
  5. Step 5: Solve for x
    x = 35,523,524.90/6,780.42
  6. Step 6: Final answer
    x = 5,239.13

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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.