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Finding the Fourth Proportional to 6,441.25, 9,658.32 and 1,997.69

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Solution

The fourth proportional to 6,441.25, 9,658.32 and 1,997.69 is: 2,995.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.25 : 9,658.32 = 1,997.69 : x
  2. Step 2: Convert to fraction form
    6,441.25/9,658.32 = 1,997.69/x
  3. Step 3: Cross multiply
    6,441.25x = 9,658.32 × 1,997.69
  4. Step 4: Simplify right side
    6,441.25x = 19,294,329.28
  5. Step 5: Solve for x
    x = 19,294,329.28/6,441.25
  6. Step 6: Final answer
    x = 2,995.43

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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.