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Finding the Fourth Proportional to 9,844.80, 14,769.09 and 3,183.09

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Solution

The fourth proportional to 9,844.80, 14,769.09 and 3,183.09 is: 4,775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.80 : 14,769.09 = 3,183.09 : x
  2. Step 2: Convert to fraction form
    9,844.80/14,769.09 = 3,183.09/x
  3. Step 3: Cross multiply
    9,844.80x = 14,769.09 × 3,183.09
  4. Step 4: Simplify right side
    9,844.80x = 47,011,342.69
  5. Step 5: Solve for x
    x = 47,011,342.69/9,844.80
  6. Step 6: Final answer
    x = 4,775.25

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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.