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Finding the Fourth Proportional to 6,346.43, 8,766.41 and 4,872.54

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Solution

The fourth proportional to 6,346.43, 8,766.41 and 4,872.54 is: 6,730.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.43 : 8,766.41 = 4,872.54 : x
  2. Step 2: Convert to fraction form
    6,346.43/8,766.41 = 4,872.54/x
  3. Step 3: Cross multiply
    6,346.43x = 8,766.41 × 4,872.54
  4. Step 4: Simplify right side
    6,346.43x = 42,714,659.02
  5. Step 5: Solve for x
    x = 42,714,659.02/6,346.43
  6. Step 6: Final answer
    x = 6,730.51

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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.