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Finding the Fourth Proportional to 6,113.70, 9,170.55 and 2,217.60

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Solution

The fourth proportional to 6,113.70, 9,170.55 and 2,217.60 is: 3,326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.70 : 9,170.55 = 2,217.60 : x
  2. Step 2: Convert to fraction form
    6,113.70/9,170.55 = 2,217.60/x
  3. Step 3: Cross multiply
    6,113.70x = 9,170.55 × 2,217.60
  4. Step 4: Simplify right side
    6,113.70x = 20,336,611.68
  5. Step 5: Solve for x
    x = 20,336,611.68/6,113.70
  6. Step 6: Final answer
    x = 3,326.40

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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.