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Finding the Fourth Proportional to 6,980.88, 9,633.76 and 3,997.20

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Solution

The fourth proportional to 6,980.88, 9,633.76 and 3,997.20 is: 5,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.88 : 9,633.76 = 3,997.20 : x
  2. Step 2: Convert to fraction form
    6,980.88/9,633.76 = 3,997.20/x
  3. Step 3: Cross multiply
    6,980.88x = 9,633.76 × 3,997.20
  4. Step 4: Simplify right side
    6,980.88x = 38,508,065.47
  5. Step 5: Solve for x
    x = 38,508,065.47/6,980.88
  6. Step 6: Final answer
    x = 5,516.22

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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.