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Finding the Fourth Proportional to 6,789.56, 9,370.08 and 3,806

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Solution

The fourth proportional to 6,789.56, 9,370.08 and 3,806 is: 5,252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.56 : 9,370.08 = 3,806 : x
  2. Step 2: Convert to fraction form
    6,789.56/9,370.08 = 3,806/x
  3. Step 3: Cross multiply
    6,789.56x = 9,370.08 × 3,806
  4. Step 4: Simplify right side
    6,789.56x = 35,662,524.48
  5. Step 5: Solve for x
    x = 35,662,524.48/6,789.56
  6. Step 6: Final answer
    x = 5,252.55

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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.