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Finding the Fourth Proportional to 6,399.41, 9,576.31 and 4,425.44

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Solution

The fourth proportional to 6,399.41, 9,576.31 and 4,425.44 is: 6,622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.41 : 9,576.31 = 4,425.44 : x
  2. Step 2: Convert to fraction form
    6,399.41/9,576.31 = 4,425.44/x
  3. Step 3: Cross multiply
    6,399.41x = 9,576.31 × 4,425.44
  4. Step 4: Simplify right side
    6,399.41x = 42,379,363.20
  5. Step 5: Solve for x
    x = 42,379,363.20/6,399.41
  6. Step 6: Final answer
    x = 6,622.39

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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.