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Finding the Fourth Proportional to 6,872.02, 9,481.80 and 4,638.04

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Solution

The fourth proportional to 6,872.02, 9,481.80 and 4,638.04 is: 6,399.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.02 : 9,481.80 = 4,638.04 : x
  2. Step 2: Convert to fraction form
    6,872.02/9,481.80 = 4,638.04/x
  3. Step 3: Cross multiply
    6,872.02x = 9,481.80 × 4,638.04
  4. Step 4: Simplify right side
    6,872.02x = 43,976,967.67
  5. Step 5: Solve for x
    x = 43,976,967.67/6,872.02
  6. Step 6: Final answer
    x = 6,399.42

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