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Finding the Fourth Proportional to 6,979.84, 9,632.27 and 3,836

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Solution

The fourth proportional to 6,979.84, 9,632.27 and 3,836 is: 5,293.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,979.84 : 9,632.27 = 3,836 : x
  2. Step 2: Convert to fraction form
    6,979.84/9,632.27 = 3,836/x
  3. Step 3: Cross multiply
    6,979.84x = 9,632.27 × 3,836
  4. Step 4: Simplify right side
    6,979.84x = 36,949,387.72
  5. Step 5: Solve for x
    x = 36,949,387.72/6,979.84
  6. Step 6: Final answer
    x = 5,293.73

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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.