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Finding the Fourth Proportional to 6,725.82, 9,286.21 and 4,208.95

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Solution

The fourth proportional to 6,725.82, 9,286.21 and 4,208.95 is: 5,811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.82 : 9,286.21 = 4,208.95 : x
  2. Step 2: Convert to fraction form
    6,725.82/9,286.21 = 4,208.95/x
  3. Step 3: Cross multiply
    6,725.82x = 9,286.21 × 4,208.95
  4. Step 4: Simplify right side
    6,725.82x = 39,085,193.58
  5. Step 5: Solve for x
    x = 39,085,193.58/6,725.82
  6. Step 6: Final answer
    x = 5,811.22

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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.