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Finding the Fourth Proportional to 6,481.64, 9,723.14 and 2,321.03

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Solution

The fourth proportional to 6,481.64, 9,723.14 and 2,321.03 is: 3,481.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.64 : 9,723.14 = 2,321.03 : x
  2. Step 2: Convert to fraction form
    6,481.64/9,723.14 = 2,321.03/x
  3. Step 3: Cross multiply
    6,481.64x = 9,723.14 × 2,321.03
  4. Step 4: Simplify right side
    6,481.64x = 22,567,699.63
  5. Step 5: Solve for x
    x = 22,567,699.63/6,481.64
  6. Step 6: Final answer
    x = 3,481.79

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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.