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Finding the Fourth Proportional to 9,481.92, 14,202.24 and 6,879.12

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Solution

The fourth proportional to 9,481.92, 14,202.24 and 6,879.12 is: 10,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.92 : 14,202.24 = 6,879.12 : x
  2. Step 2: Convert to fraction form
    9,481.92/14,202.24 = 6,879.12/x
  3. Step 3: Cross multiply
    9,481.92x = 14,202.24 × 6,879.12
  4. Step 4: Simplify right side
    9,481.92x = 97,698,913.23
  5. Step 5: Solve for x
    x = 97,698,913.23/9,481.92
  6. Step 6: Final answer
    x = 10,303.71

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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.