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Finding the Fourth Proportional to 6,104.20, 9,162.78 and 5,793.16

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Solution

The fourth proportional to 6,104.20, 9,162.78 and 5,793.16 is: 8,695.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.20 : 9,162.78 = 5,793.16 : x
  2. Step 2: Convert to fraction form
    6,104.20/9,162.78 = 5,793.16/x
  3. Step 3: Cross multiply
    6,104.20x = 9,162.78 × 5,793.16
  4. Step 4: Simplify right side
    6,104.20x = 53,081,450.58
  5. Step 5: Solve for x
    x = 53,081,450.58/6,104.20
  6. Step 6: Final answer
    x = 8,695.89

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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.