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Finding the Fourth Proportional to 9,794.73, 13,517.13 and 5,546.00

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Solution

The fourth proportional to 9,794.73, 13,517.13 and 5,546.00 is: 7,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.73 : 13,517.13 = 5,546.00 : x
  2. Step 2: Convert to fraction form
    9,794.73/13,517.13 = 5,546.00/x
  3. Step 3: Cross multiply
    9,794.73x = 13,517.13 × 5,546.00
  4. Step 4: Simplify right side
    9,794.73x = 74,965,935.39
  5. Step 5: Solve for x
    x = 74,965,935.39/9,794.73
  6. Step 6: Final answer
    x = 7,653.70

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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.