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Finding the Fourth Proportional to 9,980.80, 14,944.80 and 7,997.20

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Solution

The fourth proportional to 9,980.80, 14,944.80 and 7,997.20 is: 11,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.80 : 14,944.80 = 7,997.20 : x
  2. Step 2: Convert to fraction form
    9,980.80/14,944.80 = 7,997.20/x
  3. Step 3: Cross multiply
    9,980.80x = 14,944.80 × 7,997.20
  4. Step 4: Simplify right side
    9,980.80x = 119,516,554.56
  5. Step 5: Solve for x
    x = 119,516,554.56/9,980.80
  6. Step 6: Final answer
    x = 11,974.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.