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Finding the Fourth Proportional to 9,185.73, 12,676.25 and 4,993.98

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Solution

The fourth proportional to 9,185.73, 12,676.25 and 4,993.98 is: 6,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.73 : 12,676.25 = 4,993.98 : x
  2. Step 2: Convert to fraction form
    9,185.73/12,676.25 = 4,993.98/x
  3. Step 3: Cross multiply
    9,185.73x = 12,676.25 × 4,993.98
  4. Step 4: Simplify right side
    9,185.73x = 63,304,914.01
  5. Step 5: Solve for x
    x = 63,304,914.01/9,185.73
  6. Step 6: Final answer
    x = 6,891.66

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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.