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Finding the Fourth Proportional to 6,675.36, 9,213.12 and 3,882.48

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Solution

The fourth proportional to 6,675.36, 9,213.12 and 3,882.48 is: 5,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.36 : 9,213.12 = 3,882.48 : x
  2. Step 2: Convert to fraction form
    6,675.36/9,213.12 = 3,882.48/x
  3. Step 3: Cross multiply
    6,675.36x = 9,213.12 × 3,882.48
  4. Step 4: Simplify right side
    6,675.36x = 35,769,754.14
  5. Step 5: Solve for x
    x = 35,769,754.14/6,675.36
  6. Step 6: Final answer
    x = 5,358.48

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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.