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Finding the Fourth Proportional to 8,964.82, 13,447.23 and 4,033.54

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Solution

The fourth proportional to 8,964.82, 13,447.23 and 4,033.54 is: 6,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.82 : 13,447.23 = 4,033.54 : x
  2. Step 2: Convert to fraction form
    8,964.82/13,447.23 = 4,033.54/x
  3. Step 3: Cross multiply
    8,964.82x = 13,447.23 × 4,033.54
  4. Step 4: Simplify right side
    8,964.82x = 54,239,940.09
  5. Step 5: Solve for x
    x = 54,239,940.09/8,964.82
  6. Step 6: Final answer
    x = 6,050.31

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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.