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Finding the Fourth Proportional to 6,882.17, 9,497.41 and 4,049.65

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Solution

The fourth proportional to 6,882.17, 9,497.41 and 4,049.65 is: 5,588.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.17 : 9,497.41 = 4,049.65 : x
  2. Step 2: Convert to fraction form
    6,882.17/9,497.41 = 4,049.65/x
  3. Step 3: Cross multiply
    6,882.17x = 9,497.41 × 4,049.65
  4. Step 4: Simplify right side
    6,882.17x = 38,461,186.41
  5. Step 5: Solve for x
    x = 38,461,186.41/6,882.17
  6. Step 6: Final answer
    x = 5,588.53

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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.