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Finding the Fourth Proportional to 6,980.65, 9,633.13 and 3,793.86

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Solution

The fourth proportional to 6,980.65, 9,633.13 and 3,793.86 is: 5,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.65 : 9,633.13 = 3,793.86 : x
  2. Step 2: Convert to fraction form
    6,980.65/9,633.13 = 3,793.86/x
  3. Step 3: Cross multiply
    6,980.65x = 9,633.13 × 3,793.86
  4. Step 4: Simplify right side
    6,980.65x = 36,546,737.10
  5. Step 5: Solve for x
    x = 36,546,737.10/6,980.65
  6. Step 6: Final answer
    x = 5,235.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.