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Finding the Fourth Proportional to 8,896.36, 12,277.38 and 5,169.64

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Solution

The fourth proportional to 8,896.36, 12,277.38 and 5,169.64 is: 7,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896.36 : 12,277.38 = 5,169.64 : x
  2. Step 2: Convert to fraction form
    8,896.36/12,277.38 = 5,169.64/x
  3. Step 3: Cross multiply
    8,896.36x = 12,277.38 × 5,169.64
  4. Step 4: Simplify right side
    8,896.36x = 63,469,634.74
  5. Step 5: Solve for x
    x = 63,469,634.74/8,896.36
  6. Step 6: Final answer
    x = 7,134.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.