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Finding the Fourth Proportional to 9,223.05, 13,834.49 and 2,649.21

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Solution

The fourth proportional to 9,223.05, 13,834.49 and 2,649.21 is: 3,973.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.05 : 13,834.49 = 2,649.21 : x
  2. Step 2: Convert to fraction form
    9,223.05/13,834.49 = 2,649.21/x
  3. Step 3: Cross multiply
    9,223.05x = 13,834.49 × 2,649.21
  4. Step 4: Simplify right side
    9,223.05x = 36,650,456.01
  5. Step 5: Solve for x
    x = 36,650,456.01/9,223.05
  6. Step 6: Final answer
    x = 3,973.79

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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.