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Finding the Fourth Proportional to 6,882.17, 9,497.39 and 3,738.35

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Solution

The fourth proportional to 6,882.17, 9,497.39 and 3,738.35 is: 5,158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.17 : 9,497.39 = 3,738.35 : x
  2. Step 2: Convert to fraction form
    6,882.17/9,497.39 = 3,738.35/x
  3. Step 3: Cross multiply
    6,882.17x = 9,497.39 × 3,738.35
  4. Step 4: Simplify right side
    6,882.17x = 35,504,572.96
  5. Step 5: Solve for x
    x = 35,504,572.96/6,882.17
  6. Step 6: Final answer
    x = 5,158.92

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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.