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Finding the Fourth Proportional to 9,223.13, 13,834.80 and 2,649.38

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Solution

The fourth proportional to 9,223.13, 13,834.80 and 2,649.38 is: 3,974.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.13 : 13,834.80 = 2,649.38 : x
  2. Step 2: Convert to fraction form
    9,223.13/13,834.80 = 2,649.38/x
  3. Step 3: Cross multiply
    9,223.13x = 13,834.80 × 2,649.38
  4. Step 4: Simplify right side
    9,223.13x = 36,653,573.25
  5. Step 5: Solve for x
    x = 36,653,573.25/9,223.13
  6. Step 6: Final answer
    x = 3,974.09

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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.