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Finding the Fourth Proportional to 6,980.67, 9,633.33 and 3,793.95

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Solution

The fourth proportional to 6,980.67, 9,633.33 and 3,793.95 is: 5,235.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.67 : 9,633.33 = 3,793.95 : x
  2. Step 2: Convert to fraction form
    6,980.67/9,633.33 = 3,793.95/x
  3. Step 3: Cross multiply
    6,980.67x = 9,633.33 × 3,793.95
  4. Step 4: Simplify right side
    6,980.67x = 36,548,372.35
  5. Step 5: Solve for x
    x = 36,548,372.35/6,980.67
  6. Step 6: Final answer
    x = 5,235.65

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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.