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Finding the Fourth Proportional to 6,735.15, 9,286.04 and 5,789.07

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Solution

The fourth proportional to 6,735.15, 9,286.04 and 5,789.07 is: 7,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.15 : 9,286.04 = 5,789.07 : x
  2. Step 2: Convert to fraction form
    6,735.15/9,286.04 = 5,789.07/x
  3. Step 3: Cross multiply
    6,735.15x = 9,286.04 × 5,789.07
  4. Step 4: Simplify right side
    6,735.15x = 53,757,550.06
  5. Step 5: Solve for x
    x = 53,757,550.06/6,735.15
  6. Step 6: Final answer
    x = 7,981.64

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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.