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Finding the Fourth Proportional to 6,882.17, 9,497.57 and 3,897.96

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Solution

The fourth proportional to 6,882.17, 9,497.57 and 3,897.96 is: 5,379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.17 : 9,497.57 = 3,897.96 : x
  2. Step 2: Convert to fraction form
    6,882.17/9,497.57 = 3,897.96/x
  3. Step 3: Cross multiply
    6,882.17x = 9,497.57 × 3,897.96
  4. Step 4: Simplify right side
    6,882.17x = 37,021,147.96
  5. Step 5: Solve for x
    x = 37,021,147.96/6,882.17
  6. Step 6: Final answer
    x = 5,379.28

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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.