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Finding the Fourth Proportional to 9,399.83, 12,942.23 and 7,980.54

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Solution

The fourth proportional to 9,399.83, 12,942.23 and 7,980.54 is: 10,988.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.83 : 12,942.23 = 7,980.54 : x
  2. Step 2: Convert to fraction form
    9,399.83/12,942.23 = 7,980.54/x
  3. Step 3: Cross multiply
    9,399.83x = 12,942.23 × 7,980.54
  4. Step 4: Simplify right side
    9,399.83x = 103,285,944.30
  5. Step 5: Solve for x
    x = 103,285,944.30/9,399.83
  6. Step 6: Final answer
    x = 10,988.07

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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.