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Finding the Fourth Proportional to 6,346.73, 9,506.21 and 3,221.34

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Solution

The fourth proportional to 6,346.73, 9,506.21 and 3,221.34 is: 4,824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.73 : 9,506.21 = 3,221.34 : x
  2. Step 2: Convert to fraction form
    6,346.73/9,506.21 = 3,221.34/x
  3. Step 3: Cross multiply
    6,346.73x = 9,506.21 × 3,221.34
  4. Step 4: Simplify right side
    6,346.73x = 30,622,718.41
  5. Step 5: Solve for x
    x = 30,622,718.41/6,346.73
  6. Step 6: Final answer
    x = 4,824.96

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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.