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Finding the Fourth Proportional to 6,513.97, 9,771.41 and 2,618.38

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Solution

The fourth proportional to 6,513.97, 9,771.41 and 2,618.38 is: 3,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.97 : 9,771.41 = 2,618.38 : x
  2. Step 2: Convert to fraction form
    6,513.97/9,771.41 = 2,618.38/x
  3. Step 3: Cross multiply
    6,513.97x = 9,771.41 × 2,618.38
  4. Step 4: Simplify right side
    6,513.97x = 25,585,222.20
  5. Step 5: Solve for x
    x = 25,585,222.20/6,513.97
  6. Step 6: Final answer
    x = 3,927.74

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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.