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Finding the Fourth Proportional to 6,098.20, 9,147.30 and 5,296.30

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Solution

The fourth proportional to 6,098.20, 9,147.30 and 5,296.30 is: 7,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.20 : 9,147.30 = 5,296.30 : x
  2. Step 2: Convert to fraction form
    6,098.20/9,147.30 = 5,296.30/x
  3. Step 3: Cross multiply
    6,098.20x = 9,147.30 × 5,296.30
  4. Step 4: Simplify right side
    6,098.20x = 48,446,844.99
  5. Step 5: Solve for x
    x = 48,446,844.99/6,098.20
  6. Step 6: Final answer
    x = 7,944.45

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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.