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Finding the Fourth Proportional to 9,185.67, 12,676.16 and 4,993.95

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Solution

The fourth proportional to 9,185.67, 12,676.16 and 4,993.95 is: 6,891.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.67 : 12,676.16 = 4,993.95 : x
  2. Step 2: Convert to fraction form
    9,185.67/12,676.16 = 4,993.95/x
  3. Step 3: Cross multiply
    9,185.67x = 12,676.16 × 4,993.95
  4. Step 4: Simplify right side
    9,185.67x = 63,304,084.26
  5. Step 5: Solve for x
    x = 63,304,084.26/9,185.67
  6. Step 6: Final answer
    x = 6,891.61

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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.