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Finding the Fourth Proportional to 6,162.76, 9,232.46 and 3,658.67

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Solution

The fourth proportional to 6,162.76, 9,232.46 and 3,658.67 is: 5,481.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.76 : 9,232.46 = 3,658.67 : x
  2. Step 2: Convert to fraction form
    6,162.76/9,232.46 = 3,658.67/x
  3. Step 3: Cross multiply
    6,162.76x = 9,232.46 × 3,658.67
  4. Step 4: Simplify right side
    6,162.76x = 33,778,524.43
  5. Step 5: Solve for x
    x = 33,778,524.43/6,162.76
  6. Step 6: Final answer
    x = 5,481.07

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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.