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Finding the Fourth Proportional to 6,529.93, 9,796.37 and 2,147.42

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Solution

The fourth proportional to 6,529.93, 9,796.37 and 2,147.42 is: 3,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.93 : 9,796.37 = 2,147.42 : x
  2. Step 2: Convert to fraction form
    6,529.93/9,796.37 = 2,147.42/x
  3. Step 3: Cross multiply
    6,529.93x = 9,796.37 × 2,147.42
  4. Step 4: Simplify right side
    6,529.93x = 21,036,910.13
  5. Step 5: Solve for x
    x = 21,036,910.13/6,529.93
  6. Step 6: Final answer
    x = 3,221.62

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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.