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Finding the Fourth Proportional to 6,205.92, 8,564.21 and 3,443.22

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Solution

The fourth proportional to 6,205.92, 8,564.21 and 3,443.22 is: 4,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.92 : 8,564.21 = 3,443.22 : x
  2. Step 2: Convert to fraction form
    6,205.92/8,564.21 = 3,443.22/x
  3. Step 3: Cross multiply
    6,205.92x = 8,564.21 × 3,443.22
  4. Step 4: Simplify right side
    6,205.92x = 29,488,441.94
  5. Step 5: Solve for x
    x = 29,488,441.94/6,205.92
  6. Step 6: Final answer
    x = 4,751.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.