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Finding the Fourth Proportional to 6,197.80, 9,296.70 and 4,120.60

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Solution

The fourth proportional to 6,197.80, 9,296.70 and 4,120.60 is: 6,180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.80 : 9,296.70 = 4,120.60 : x
  2. Step 2: Convert to fraction form
    6,197.80/9,296.70 = 4,120.60/x
  3. Step 3: Cross multiply
    6,197.80x = 9,296.70 × 4,120.60
  4. Step 4: Simplify right side
    6,197.80x = 38,307,982.02
  5. Step 5: Solve for x
    x = 38,307,982.02/6,197.80
  6. Step 6: Final answer
    x = 6,180.90

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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.