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Finding the Fourth Proportional to 6,447.32, 9,676.46 and 2,554.44

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Solution

The fourth proportional to 6,447.32, 9,676.46 and 2,554.44 is: 3,833.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.32 : 9,676.46 = 2,554.44 : x
  2. Step 2: Convert to fraction form
    6,447.32/9,676.46 = 2,554.44/x
  3. Step 3: Cross multiply
    6,447.32x = 9,676.46 × 2,554.44
  4. Step 4: Simplify right side
    6,447.32x = 24,717,936.48
  5. Step 5: Solve for x
    x = 24,717,936.48/6,447.32
  6. Step 6: Final answer
    x = 3,833.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.