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Finding the Fourth Proportional to 6,729.25, 9,286.55 and 3,934.93

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Solution

The fourth proportional to 6,729.25, 9,286.55 and 3,934.93 is: 5,430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.25 : 9,286.55 = 3,934.93 : x
  2. Step 2: Convert to fraction form
    6,729.25/9,286.55 = 3,934.93/x
  3. Step 3: Cross multiply
    6,729.25x = 9,286.55 × 3,934.93
  4. Step 4: Simplify right side
    6,729.25x = 36,541,924.19
  5. Step 5: Solve for x
    x = 36,541,924.19/6,729.25
  6. Step 6: Final answer
    x = 5,430.31

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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.