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Finding the Fourth Proportional to 6,116.20, 9,166.20 and 5,419.60

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Solution

The fourth proportional to 6,116.20, 9,166.20 and 5,419.60 is: 8,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.20 : 9,166.20 = 5,419.60 : x
  2. Step 2: Convert to fraction form
    6,116.20/9,166.20 = 5,419.60/x
  3. Step 3: Cross multiply
    6,116.20x = 9,166.20 × 5,419.60
  4. Step 4: Simplify right side
    6,116.20x = 49,677,137.52
  5. Step 5: Solve for x
    x = 49,677,137.52/6,116.20
  6. Step 6: Final answer
    x = 8,122.22

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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.