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Finding the Fourth Proportional to 6,330.86, 8,736.81 and 3,974.30

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Solution

The fourth proportional to 6,330.86, 8,736.81 and 3,974.30 is: 5,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330.86 : 8,736.81 = 3,974.30 : x
  2. Step 2: Convert to fraction form
    6,330.86/8,736.81 = 3,974.30/x
  3. Step 3: Cross multiply
    6,330.86x = 8,736.81 × 3,974.30
  4. Step 4: Simplify right side
    6,330.86x = 34,722,710.92
  5. Step 5: Solve for x
    x = 34,722,710.92/6,330.86
  6. Step 6: Final answer
    x = 5,484.67

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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.