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Finding the Fourth Proportional to 6,715.44, 9,266.67 and 3,882.58

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Solution

The fourth proportional to 6,715.44, 9,266.67 and 3,882.58 is: 5,357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.44 : 9,266.67 = 3,882.58 : x
  2. Step 2: Convert to fraction form
    6,715.44/9,266.67 = 3,882.58/x
  3. Step 3: Cross multiply
    6,715.44x = 9,266.67 × 3,882.58
  4. Step 4: Simplify right side
    6,715.44x = 35,978,616.57
  5. Step 5: Solve for x
    x = 35,978,616.57/6,715.44
  6. Step 6: Final answer
    x = 5,357.60

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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.