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Finding the Fourth Proportional to 6,716.34, 9,267.84 and 3,882.96

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Solution

The fourth proportional to 6,716.34, 9,267.84 and 3,882.96 is: 5,358.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.34 : 9,267.84 = 3,882.96 : x
  2. Step 2: Convert to fraction form
    6,716.34/9,267.84 = 3,882.96/x
  3. Step 3: Cross multiply
    6,716.34x = 9,267.84 × 3,882.96
  4. Step 4: Simplify right side
    6,716.34x = 35,986,652.01
  5. Step 5: Solve for x
    x = 35,986,652.01/6,716.34
  6. Step 6: Final answer
    x = 5,358.07

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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.