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Finding the Fourth Proportional to 6,513.66, 9,771.99 and 2,131.02

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Solution

The fourth proportional to 6,513.66, 9,771.99 and 2,131.02 is: 3,197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.66 : 9,771.99 = 2,131.02 : x
  2. Step 2: Convert to fraction form
    6,513.66/9,771.99 = 2,131.02/x
  3. Step 3: Cross multiply
    6,513.66x = 9,771.99 × 2,131.02
  4. Step 4: Simplify right side
    6,513.66x = 20,824,306.13
  5. Step 5: Solve for x
    x = 20,824,306.13/6,513.66
  6. Step 6: Final answer
    x = 3,197.02

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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.