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Finding the Fourth Proportional to 8,467.94, 12,694.32 and 3,784.12

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Solution

The fourth proportional to 8,467.94, 12,694.32 and 3,784.12 is: 5,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.94 : 12,694.32 = 3,784.12 : x
  2. Step 2: Convert to fraction form
    8,467.94/12,694.32 = 3,784.12/x
  3. Step 3: Cross multiply
    8,467.94x = 12,694.32 × 3,784.12
  4. Step 4: Simplify right side
    8,467.94x = 48,036,798.46
  5. Step 5: Solve for x
    x = 48,036,798.46/8,467.94
  6. Step 6: Final answer
    x = 5,672.78

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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.