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Finding the Fourth Proportional to 9,183.24, 13,773.24 and 2,609.82

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Solution

The fourth proportional to 9,183.24, 13,773.24 and 2,609.82 is: 3,914.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.24 : 13,773.24 = 2,609.82 : x
  2. Step 2: Convert to fraction form
    9,183.24/13,773.24 = 2,609.82/x
  3. Step 3: Cross multiply
    9,183.24x = 13,773.24 × 2,609.82
  4. Step 4: Simplify right side
    9,183.24x = 35,945,677.22
  5. Step 5: Solve for x
    x = 35,945,677.22/9,183.24
  6. Step 6: Final answer
    x = 3,914.27

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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.