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Finding the Fourth Proportional to 9,223.11, 13,829.13 and 3,677.31

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Solution

The fourth proportional to 9,223.11, 13,829.13 and 3,677.31 is: 5,513.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.11 : 13,829.13 = 3,677.31 : x
  2. Step 2: Convert to fraction form
    9,223.11/13,829.13 = 3,677.31/x
  3. Step 3: Cross multiply
    9,223.11x = 13,829.13 × 3,677.31
  4. Step 4: Simplify right side
    9,223.11x = 50,853,998.04
  5. Step 5: Solve for x
    x = 50,853,998.04/9,223.11
  6. Step 6: Final answer
    x = 5,513.76

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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.