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Finding the Fourth Proportional to 9,611.73, 14,423.67 and 3,768.19

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Solution

The fourth proportional to 9,611.73, 14,423.67 and 3,768.19 is: 5,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.73 : 14,423.67 = 3,768.19 : x
  2. Step 2: Convert to fraction form
    9,611.73/14,423.67 = 3,768.19/x
  3. Step 3: Cross multiply
    9,611.73x = 14,423.67 × 3,768.19
  4. Step 4: Simplify right side
    9,611.73x = 54,351,093.00
  5. Step 5: Solve for x
    x = 54,351,093.00/9,611.73
  6. Step 6: Final answer
    x = 5,654.66

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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.