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Finding the Fourth Proportional to 6,463.54, 9,676.17 and 3,990.41

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Solution

The fourth proportional to 6,463.54, 9,676.17 and 3,990.41 is: 5,973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.54 : 9,676.17 = 3,990.41 : x
  2. Step 2: Convert to fraction form
    6,463.54/9,676.17 = 3,990.41/x
  3. Step 3: Cross multiply
    6,463.54x = 9,676.17 × 3,990.41
  4. Step 4: Simplify right side
    6,463.54x = 38,611,885.53
  5. Step 5: Solve for x
    x = 38,611,885.53/6,463.54
  6. Step 6: Final answer
    x = 5,973.80

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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.