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Finding the Fourth Proportional to 6,789.68, 9,370.42 and 3,806.02

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Solution

The fourth proportional to 6,789.68, 9,370.42 and 3,806.02 is: 5,252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.68 : 9,370.42 = 3,806.02 : x
  2. Step 2: Convert to fraction form
    6,789.68/9,370.42 = 3,806.02/x
  3. Step 3: Cross multiply
    6,789.68x = 9,370.42 × 3,806.02
  4. Step 4: Simplify right side
    6,789.68x = 35,664,005.93
  5. Step 5: Solve for x
    x = 35,664,005.93/6,789.68
  6. Step 6: Final answer
    x = 5,252.68

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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.