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Finding the Fourth Proportional to 6,979.85, 9,632.09 and 3,835.97

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Solution

The fourth proportional to 6,979.85, 9,632.09 and 3,835.97 is: 5,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,979.85 : 9,632.09 = 3,835.97 : x
  2. Step 2: Convert to fraction form
    6,979.85/9,632.09 = 3,835.97/x
  3. Step 3: Cross multiply
    6,979.85x = 9,632.09 × 3,835.97
  4. Step 4: Simplify right side
    6,979.85x = 36,948,389.10
  5. Step 5: Solve for x
    x = 36,948,389.10/6,979.85
  6. Step 6: Final answer
    x = 5,293.58

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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.