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Finding the Fourth Proportional to 8,673.34, 11,969.24 and 4,694.44

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Solution

The fourth proportional to 8,673.34, 11,969.24 and 4,694.44 is: 6,478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,673.34 : 11,969.24 = 4,694.44 : x
  2. Step 2: Convert to fraction form
    8,673.34/11,969.24 = 4,694.44/x
  3. Step 3: Cross multiply
    8,673.34x = 11,969.24 × 4,694.44
  4. Step 4: Simplify right side
    8,673.34x = 56,188,879.03
  5. Step 5: Solve for x
    x = 56,188,879.03/8,673.34
  6. Step 6: Final answer
    x = 6,478.34

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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.