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Finding the Fourth Proportional to 9,601.67, 14,404.02 and 3,361.53

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Solution

The fourth proportional to 9,601.67, 14,404.02 and 3,361.53 is: 5,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.67 : 14,404.02 = 3,361.53 : x
  2. Step 2: Convert to fraction form
    9,601.67/14,404.02 = 3,361.53/x
  3. Step 3: Cross multiply
    9,601.67x = 14,404.02 × 3,361.53
  4. Step 4: Simplify right side
    9,601.67x = 48,419,557.96
  5. Step 5: Solve for x
    x = 48,419,557.96/9,601.67
  6. Step 6: Final answer
    x = 5,042.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.