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Finding the Fourth Proportional to 6,837.98, 9,436.16 and 3,853.73

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Solution

The fourth proportional to 6,837.98, 9,436.16 and 3,853.73 is: 5,318.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.98 : 9,436.16 = 3,853.73 : x
  2. Step 2: Convert to fraction form
    6,837.98/9,436.16 = 3,853.73/x
  3. Step 3: Cross multiply
    6,837.98x = 9,436.16 × 3,853.73
  4. Step 4: Simplify right side
    6,837.98x = 36,364,346.43
  5. Step 5: Solve for x
    x = 36,364,346.43/6,837.98
  6. Step 6: Final answer
    x = 5,318.00

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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.