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Finding the Fourth Proportional to 9,067, 13,601.94 and 4,136.60

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Solution

The fourth proportional to 9,067, 13,601.94 and 4,136.60 is: 6,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,067 : 13,601.94 = 4,136.60 : x
  2. Step 2: Convert to fraction form
    9,067/13,601.94 = 4,136.60/x
  3. Step 3: Cross multiply
    9,067x = 13,601.94 × 4,136.60
  4. Step 4: Simplify right side
    9,067x = 56,265,785.00
  5. Step 5: Solve for x
    x = 56,265,785.00/9,067
  6. Step 6: Final answer
    x = 6,205.56

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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.