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Finding the Fourth Proportional to 6,198.23, 9,313.48 and 5,793.29

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Solution

The fourth proportional to 6,198.23, 9,313.48 and 5,793.29 is: 8,705.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.23 : 9,313.48 = 5,793.29 : x
  2. Step 2: Convert to fraction form
    6,198.23/9,313.48 = 5,793.29/x
  3. Step 3: Cross multiply
    6,198.23x = 9,313.48 × 5,793.29
  4. Step 4: Simplify right side
    6,198.23x = 53,955,690.55
  5. Step 5: Solve for x
    x = 53,955,690.55/6,198.23
  6. Step 6: Final answer
    x = 8,705.02

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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.