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Finding the Fourth Proportional to 6,481.49, 9,723.79 and 2,098.95

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Solution

The fourth proportional to 6,481.49, 9,723.79 and 2,098.95 is: 3,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.49 : 9,723.79 = 2,098.95 : x
  2. Step 2: Convert to fraction form
    6,481.49/9,723.79 = 2,098.95/x
  3. Step 3: Cross multiply
    6,481.49x = 9,723.79 × 2,098.95
  4. Step 4: Simplify right side
    6,481.49x = 20,409,749.02
  5. Step 5: Solve for x
    x = 20,409,749.02/6,481.49
  6. Step 6: Final answer
    x = 3,148.93

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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.