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Finding the Fourth Proportional to 9,185.54, 13,780.63 and 2,611.73

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Solution

The fourth proportional to 9,185.54, 13,780.63 and 2,611.73 is: 3,918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.54 : 13,780.63 = 2,611.73 : x
  2. Step 2: Convert to fraction form
    9,185.54/13,780.63 = 2,611.73/x
  3. Step 3: Cross multiply
    9,185.54x = 13,780.63 × 2,611.73
  4. Step 4: Simplify right side
    9,185.54x = 35,991,262.67
  5. Step 5: Solve for x
    x = 35,991,262.67/9,185.54
  6. Step 6: Final answer
    x = 3,918.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.