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Finding the Fourth Proportional to 6,464.43, 9,700.32 and 2,766.33

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Solution

The fourth proportional to 6,464.43, 9,700.32 and 2,766.33 is: 4,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.43 : 9,700.32 = 2,766.33 : x
  2. Step 2: Convert to fraction form
    6,464.43/9,700.32 = 2,766.33/x
  3. Step 3: Cross multiply
    6,464.43x = 9,700.32 × 2,766.33
  4. Step 4: Simplify right side
    6,464.43x = 26,834,286.23
  5. Step 5: Solve for x
    x = 26,834,286.23/6,464.43
  6. Step 6: Final answer
    x = 4,151.07

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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.