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Finding the Fourth Proportional to 6,342.20, 9,516.02 and 2,449.34

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Solution

The fourth proportional to 6,342.20, 9,516.02 and 2,449.34 is: 3,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.20 : 9,516.02 = 2,449.34 : x
  2. Step 2: Convert to fraction form
    6,342.20/9,516.02 = 2,449.34/x
  3. Step 3: Cross multiply
    6,342.20x = 9,516.02 × 2,449.34
  4. Step 4: Simplify right side
    6,342.20x = 23,307,968.43
  5. Step 5: Solve for x
    x = 23,307,968.43/6,342.20
  6. Step 6: Final answer
    x = 3,675.06

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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.