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Finding the Fourth Proportional to 6,516.96, 9,776.82 and 2,134.09

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Solution

The fourth proportional to 6,516.96, 9,776.82 and 2,134.09 is: 3,201.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.96 : 9,776.82 = 2,134.09 : x
  2. Step 2: Convert to fraction form
    6,516.96/9,776.82 = 2,134.09/x
  3. Step 3: Cross multiply
    6,516.96x = 9,776.82 × 2,134.09
  4. Step 4: Simplify right side
    6,516.96x = 20,864,603.12
  5. Step 5: Solve for x
    x = 20,864,603.12/6,516.96
  6. Step 6: Final answer
    x = 3,201.59

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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.