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Finding the Fourth Proportional to 9,766.62, 13,474.62 and 5,517.06

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Solution

The fourth proportional to 9,766.62, 13,474.62 and 5,517.06 is: 7,611.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.62 : 13,474.62 = 5,517.06 : x
  2. Step 2: Convert to fraction form
    9,766.62/13,474.62 = 5,517.06/x
  3. Step 3: Cross multiply
    9,766.62x = 13,474.62 × 5,517.06
  4. Step 4: Simplify right side
    9,766.62x = 74,340,287.02
  5. Step 5: Solve for x
    x = 74,340,287.02/9,766.62
  6. Step 6: Final answer
    x = 7,611.67

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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.