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Finding the Fourth Proportional to 6,838.97, 9,436.12 and 3,854.81

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Solution

The fourth proportional to 6,838.97, 9,436.12 and 3,854.81 is: 5,318.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.97 : 9,436.12 = 3,854.81 : x
  2. Step 2: Convert to fraction form
    6,838.97/9,436.12 = 3,854.81/x
  3. Step 3: Cross multiply
    6,838.97x = 9,436.12 × 3,854.81
  4. Step 4: Simplify right side
    6,838.97x = 36,374,449.74
  5. Step 5: Solve for x
    x = 36,374,449.74/6,838.97
  6. Step 6: Final answer
    x = 5,318.70

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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.