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Finding the Fourth Proportional to 6,980.90, 9,633.78 and 3,997.67

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Solution

The fourth proportional to 6,980.90, 9,633.78 and 3,997.67 is: 5,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.90 : 9,633.78 = 3,997.67 : x
  2. Step 2: Convert to fraction form
    6,980.90/9,633.78 = 3,997.67/x
  3. Step 3: Cross multiply
    6,980.90x = 9,633.78 × 3,997.67
  4. Step 4: Simplify right side
    6,980.90x = 38,512,625.12
  5. Step 5: Solve for x
    x = 38,512,625.12/6,980.90
  6. Step 6: Final answer
    x = 5,516.86

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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.