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Finding the Fourth Proportional to 6,162.06, 8,498.68 and 3,923.22

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Solution

The fourth proportional to 6,162.06, 8,498.68 and 3,923.22 is: 5,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.06 : 8,498.68 = 3,923.22 : x
  2. Step 2: Convert to fraction form
    6,162.06/8,498.68 = 3,923.22/x
  3. Step 3: Cross multiply
    6,162.06x = 8,498.68 × 3,923.22
  4. Step 4: Simplify right side
    6,162.06x = 33,342,191.35
  5. Step 5: Solve for x
    x = 33,342,191.35/6,162.06
  6. Step 6: Final answer
    x = 5,410.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.