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Finding the Fourth Proportional to 6,780.48, 9,357.12 and 3,796.80

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Solution

The fourth proportional to 6,780.48, 9,357.12 and 3,796.80 is: 5,239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.48 : 9,357.12 = 3,796.80 : x
  2. Step 2: Convert to fraction form
    6,780.48/9,357.12 = 3,796.80/x
  3. Step 3: Cross multiply
    6,780.48x = 9,357.12 × 3,796.80
  4. Step 4: Simplify right side
    6,780.48x = 35,527,113.22
  5. Step 5: Solve for x
    x = 35,527,113.22/6,780.48
  6. Step 6: Final answer
    x = 5,239.62

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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.