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Finding the Fourth Proportional to 6,209.25, 9,292.39 and 3,836.36

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Solution

The fourth proportional to 6,209.25, 9,292.39 and 3,836.36 is: 5,741.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.25 : 9,292.39 = 3,836.36 : x
  2. Step 2: Convert to fraction form
    6,209.25/9,292.39 = 3,836.36/x
  3. Step 3: Cross multiply
    6,209.25x = 9,292.39 × 3,836.36
  4. Step 4: Simplify right side
    6,209.25x = 35,648,906.84
  5. Step 5: Solve for x
    x = 35,648,906.84/6,209.25
  6. Step 6: Final answer
    x = 5,741.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.