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Finding the Fourth Proportional to 6,516.91, 9,776.85 and 2,134.27

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Solution

The fourth proportional to 6,516.91, 9,776.85 and 2,134.27 is: 3,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.91 : 9,776.85 = 2,134.27 : x
  2. Step 2: Convert to fraction form
    6,516.91/9,776.85 = 2,134.27/x
  3. Step 3: Cross multiply
    6,516.91x = 9,776.85 × 2,134.27
  4. Step 4: Simplify right side
    6,516.91x = 20,866,437.65
  5. Step 5: Solve for x
    x = 20,866,437.65/6,516.91
  6. Step 6: Final answer
    x = 3,201.89

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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.