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Finding the Fourth Proportional to 6,162.01, 9,231.33 and 3,657.91

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Solution

The fourth proportional to 6,162.01, 9,231.33 and 3,657.91 is: 5,479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.01 : 9,231.33 = 3,657.91 : x
  2. Step 2: Convert to fraction form
    6,162.01/9,231.33 = 3,657.91/x
  3. Step 3: Cross multiply
    6,162.01x = 9,231.33 × 3,657.91
  4. Step 4: Simplify right side
    6,162.01x = 33,767,374.32
  5. Step 5: Solve for x
    x = 33,767,374.32/6,162.01
  6. Step 6: Final answer
    x = 5,479.93

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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.