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Finding the Fourth Proportional to 6,780.86, 9,357.36 and 3,796.62

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Solution

The fourth proportional to 6,780.86, 9,357.36 and 3,796.62 is: 5,239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.86 : 9,357.36 = 3,796.62 : x
  2. Step 2: Convert to fraction form
    6,780.86/9,357.36 = 3,796.62/x
  3. Step 3: Cross multiply
    6,780.86x = 9,357.36 × 3,796.62
  4. Step 4: Simplify right side
    6,780.86x = 35,526,340.12
  5. Step 5: Solve for x
    x = 35,526,340.12/6,780.86
  6. Step 6: Final answer
    x = 5,239.21

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