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Finding the Fourth Proportional to 6,365.70, 9,542.97 and 3,241.62

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Solution

The fourth proportional to 6,365.70, 9,542.97 and 3,241.62 is: 4,859.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.70 : 9,542.97 = 3,241.62 : x
  2. Step 2: Convert to fraction form
    6,365.70/9,542.97 = 3,241.62/x
  3. Step 3: Cross multiply
    6,365.70x = 9,542.97 × 3,241.62
  4. Step 4: Simplify right side
    6,365.70x = 30,934,682.41
  5. Step 5: Solve for x
    x = 30,934,682.41/6,365.70
  6. Step 6: Final answer
    x = 4,859.59

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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.