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Finding the Fourth Proportional to 6,189.92, 9,285.48 and 1,806.20

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Solution

The fourth proportional to 6,189.92, 9,285.48 and 1,806.20 is: 2,709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.92 : 9,285.48 = 1,806.20 : x
  2. Step 2: Convert to fraction form
    6,189.92/9,285.48 = 1,806.20/x
  3. Step 3: Cross multiply
    6,189.92x = 9,285.48 × 1,806.20
  4. Step 4: Simplify right side
    6,189.92x = 16,771,433.98
  5. Step 5: Solve for x
    x = 16,771,433.98/6,189.92
  6. Step 6: Final answer
    x = 2,709.48

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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.