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Finding the Fourth Proportional to 6,529.33, 9,796.39 and 2,834.22

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Solution

The fourth proportional to 6,529.33, 9,796.39 and 2,834.22 is: 4,252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.33 : 9,796.39 = 2,834.22 : x
  2. Step 2: Convert to fraction form
    6,529.33/9,796.39 = 2,834.22/x
  3. Step 3: Cross multiply
    6,529.33x = 9,796.39 × 2,834.22
  4. Step 4: Simplify right side
    6,529.33x = 27,765,087.40
  5. Step 5: Solve for x
    x = 27,765,087.40/6,529.33
  6. Step 6: Final answer
    x = 4,252.36

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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.