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Finding the Fourth Proportional to 6,980.29, 9,632.90 and 3,793.65

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Solution

The fourth proportional to 6,980.29, 9,632.90 and 3,793.65 is: 5,235.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.29 : 9,632.90 = 3,793.65 : x
  2. Step 2: Convert to fraction form
    6,980.29/9,632.90 = 3,793.65/x
  3. Step 3: Cross multiply
    6,980.29x = 9,632.90 × 3,793.65
  4. Step 4: Simplify right side
    6,980.29x = 36,543,843.75
  5. Step 5: Solve for x
    x = 36,543,843.75/6,980.29
  6. Step 6: Final answer
    x = 5,235.29

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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.