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Finding the Fourth Proportional to 6,767.54, 9,342.09 and 4,115.80

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Solution

The fourth proportional to 6,767.54, 9,342.09 and 4,115.80 is: 5,681.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.54 : 9,342.09 = 4,115.80 : x
  2. Step 2: Convert to fraction form
    6,767.54/9,342.09 = 4,115.80/x
  3. Step 3: Cross multiply
    6,767.54x = 9,342.09 × 4,115.80
  4. Step 4: Simplify right side
    6,767.54x = 38,450,174.02
  5. Step 5: Solve for x
    x = 38,450,174.02/6,767.54
  6. Step 6: Final answer
    x = 5,681.56

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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.