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Finding the Fourth Proportional to 6,838.14, 9,435.78 and 3,853.96

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Solution

The fourth proportional to 6,838.14, 9,435.78 and 3,853.96 is: 5,317.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.14 : 9,435.78 = 3,853.96 : x
  2. Step 2: Convert to fraction form
    6,838.14/9,435.78 = 3,853.96/x
  3. Step 3: Cross multiply
    6,838.14x = 9,435.78 × 3,853.96
  4. Step 4: Simplify right side
    6,838.14x = 36,365,118.69
  5. Step 5: Solve for x
    x = 36,365,118.69/6,838.14
  6. Step 6: Final answer
    x = 5,317.98

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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.