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Finding the Fourth Proportional to 6,979.84, 9,632.40 and 3,836.24

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Solution

The fourth proportional to 6,979.84, 9,632.40 and 3,836.24 is: 5,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,979.84 : 9,632.40 = 3,836.24 : x
  2. Step 2: Convert to fraction form
    6,979.84/9,632.40 = 3,836.24/x
  3. Step 3: Cross multiply
    6,979.84x = 9,632.40 × 3,836.24
  4. Step 4: Simplify right side
    6,979.84x = 36,952,198.18
  5. Step 5: Solve for x
    x = 36,952,198.18/6,979.84
  6. Step 6: Final answer
    x = 5,294.13

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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.