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Finding the Fourth Proportional to 6,836.39, 9,434.26 and 4,005.44

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Solution

The fourth proportional to 6,836.39, 9,434.26 and 4,005.44 is: 5,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.39 : 9,434.26 = 4,005.44 : x
  2. Step 2: Convert to fraction form
    6,836.39/9,434.26 = 4,005.44/x
  3. Step 3: Cross multiply
    6,836.39x = 9,434.26 × 4,005.44
  4. Step 4: Simplify right side
    6,836.39x = 37,788,295.18
  5. Step 5: Solve for x
    x = 37,788,295.18/6,836.39
  6. Step 6: Final answer
    x = 5,527.53

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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.