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Finding the Fourth Proportional to 6,206.88, 8,566.80 and 3,936.76

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Solution

The fourth proportional to 6,206.88, 8,566.80 and 3,936.76 is: 5,433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.88 : 8,566.80 = 3,936.76 : x
  2. Step 2: Convert to fraction form
    6,206.88/8,566.80 = 3,936.76/x
  3. Step 3: Cross multiply
    6,206.88x = 8,566.80 × 3,936.76
  4. Step 4: Simplify right side
    6,206.88x = 33,725,435.57
  5. Step 5: Solve for x
    x = 33,725,435.57/6,206.88
  6. Step 6: Final answer
    x = 5,433.56

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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.