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Finding the Fourth Proportional to 6,882.12, 9,497.54 and 3,897.90

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Solution

The fourth proportional to 6,882.12, 9,497.54 and 3,897.90 is: 5,379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.12 : 9,497.54 = 3,897.90 : x
  2. Step 2: Convert to fraction form
    6,882.12/9,497.54 = 3,897.90/x
  3. Step 3: Cross multiply
    6,882.12x = 9,497.54 × 3,897.90
  4. Step 4: Simplify right side
    6,882.12x = 37,020,461.17
  5. Step 5: Solve for x
    x = 37,020,461.17/6,882.12
  6. Step 6: Final answer
    x = 5,379.22

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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.