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Finding the Fourth Proportional to 6,780.75, 9,357.59 and 3,796.54

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Solution

The fourth proportional to 6,780.75, 9,357.59 and 3,796.54 is: 5,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.75 : 9,357.59 = 3,796.54 : x
  2. Step 2: Convert to fraction form
    6,780.75/9,357.59 = 3,796.54/x
  3. Step 3: Cross multiply
    6,780.75x = 9,357.59 × 3,796.54
  4. Step 4: Simplify right side
    6,780.75x = 35,526,450.84
  5. Step 5: Solve for x
    x = 35,526,450.84/6,780.75
  6. Step 6: Final answer
    x = 5,239.31

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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.