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Finding the Fourth Proportional to 6,324.67, 9,490.65 and 2,627.02

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Solution

The fourth proportional to 6,324.67, 9,490.65 and 2,627.02 is: 3,942.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.67 : 9,490.65 = 2,627.02 : x
  2. Step 2: Convert to fraction form
    6,324.67/9,490.65 = 2,627.02/x
  3. Step 3: Cross multiply
    6,324.67x = 9,490.65 × 2,627.02
  4. Step 4: Simplify right side
    6,324.67x = 24,932,127.36
  5. Step 5: Solve for x
    x = 24,932,127.36/6,324.67
  6. Step 6: Final answer
    x = 3,942.04

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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.