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Finding the Fourth Proportional to 6,882.37, 9,496.54 and 4,052.13

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Solution

The fourth proportional to 6,882.37, 9,496.54 and 4,052.13 is: 5,591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.37 : 9,496.54 = 4,052.13 : x
  2. Step 2: Convert to fraction form
    6,882.37/9,496.54 = 4,052.13/x
  3. Step 3: Cross multiply
    6,882.37x = 9,496.54 × 4,052.13
  4. Step 4: Simplify right side
    6,882.37x = 38,481,184.08
  5. Step 5: Solve for x
    x = 38,481,184.08/6,882.37
  6. Step 6: Final answer
    x = 5,591.27

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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.