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Finding the Fourth Proportional to 6,384.62, 9,576.97 and 2,002.42

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Solution

The fourth proportional to 6,384.62, 9,576.97 and 2,002.42 is: 3,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.62 : 9,576.97 = 2,002.42 : x
  2. Step 2: Convert to fraction form
    6,384.62/9,576.97 = 2,002.42/x
  3. Step 3: Cross multiply
    6,384.62x = 9,576.97 × 2,002.42
  4. Step 4: Simplify right side
    6,384.62x = 19,177,123.23
  5. Step 5: Solve for x
    x = 19,177,123.23/6,384.62
  6. Step 6: Final answer
    x = 3,003.64

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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.