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Finding the Fourth Proportional to 6,449.31, 9,674.55 and 2,499.30

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Solution

The fourth proportional to 6,449.31, 9,674.55 and 2,499.30 is: 3,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.31 : 9,674.55 = 2,499.30 : x
  2. Step 2: Convert to fraction form
    6,449.31/9,674.55 = 2,499.30/x
  3. Step 3: Cross multiply
    6,449.31x = 9,674.55 × 2,499.30
  4. Step 4: Simplify right side
    6,449.31x = 24,179,602.82
  5. Step 5: Solve for x
    x = 24,179,602.82/6,449.31
  6. Step 6: Final answer
    x = 3,749.18

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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.