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Finding the Fourth Proportional to 6,882.46, 9,497.72 and 3,897.61

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Solution

The fourth proportional to 6,882.46, 9,497.72 and 3,897.61 is: 5,378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.46 : 9,497.72 = 3,897.61 : x
  2. Step 2: Convert to fraction form
    6,882.46/9,497.72 = 3,897.61/x
  3. Step 3: Cross multiply
    6,882.46x = 9,497.72 × 3,897.61
  4. Step 4: Simplify right side
    6,882.46x = 37,018,394.45
  5. Step 5: Solve for x
    x = 37,018,394.45/6,882.46
  6. Step 6: Final answer
    x = 5,378.66

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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.