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Finding the Fourth Proportional to 6,396.10, 9,604.57 and 3,946.48

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Solution

The fourth proportional to 6,396.10, 9,604.57 and 3,946.48 is: 5,926.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.10 : 9,604.57 = 3,946.48 : x
  2. Step 2: Convert to fraction form
    6,396.10/9,604.57 = 3,946.48/x
  3. Step 3: Cross multiply
    6,396.10x = 9,604.57 × 3,946.48
  4. Step 4: Simplify right side
    6,396.10x = 37,904,243.41
  5. Step 5: Solve for x
    x = 37,904,243.41/6,396.10
  6. Step 6: Final answer
    x = 5,926.15

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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.