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Finding the Fourth Proportional to 6,384.39, 9,576.47 and 3,481.17

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Solution

The fourth proportional to 6,384.39, 9,576.47 and 3,481.17 is: 5,221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.39 : 9,576.47 = 3,481.17 : x
  2. Step 2: Convert to fraction form
    6,384.39/9,576.47 = 3,481.17/x
  3. Step 3: Cross multiply
    6,384.39x = 9,576.47 × 3,481.17
  4. Step 4: Simplify right side
    6,384.39x = 33,337,302.66
  5. Step 5: Solve for x
    x = 33,337,302.66/6,384.39
  6. Step 6: Final answer
    x = 5,221.69

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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.