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Finding the Fourth Proportional to 6,342.45, 9,516.39 and 2,449.59

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Solution

The fourth proportional to 6,342.45, 9,516.39 and 2,449.59 is: 3,675.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.45 : 9,516.39 = 2,449.59 : x
  2. Step 2: Convert to fraction form
    6,342.45/9,516.39 = 2,449.59/x
  3. Step 3: Cross multiply
    6,342.45x = 9,516.39 × 2,449.59
  4. Step 4: Simplify right side
    6,342.45x = 23,311,253.78
  5. Step 5: Solve for x
    x = 23,311,253.78/6,342.45
  6. Step 6: Final answer
    x = 3,675.43

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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.