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Finding the Fourth Proportional to 6,513.52, 9,771.10 and 2,129.80

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Solution

The fourth proportional to 6,513.52, 9,771.10 and 2,129.80 is: 3,194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.52 : 9,771.10 = 2,129.80 : x
  2. Step 2: Convert to fraction form
    6,513.52/9,771.10 = 2,129.80/x
  3. Step 3: Cross multiply
    6,513.52x = 9,771.10 × 2,129.80
  4. Step 4: Simplify right side
    6,513.52x = 20,810,488.78
  5. Step 5: Solve for x
    x = 20,810,488.78/6,513.52
  6. Step 6: Final answer
    x = 3,194.97

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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.