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Finding the Fourth Proportional to 6,553.91, 9,832.08 and 5,959.71

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Solution

The fourth proportional to 6,553.91, 9,832.08 and 5,959.71 is: 8,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.91 : 9,832.08 = 5,959.71 : x
  2. Step 2: Convert to fraction form
    6,553.91/9,832.08 = 5,959.71/x
  3. Step 3: Cross multiply
    6,553.91x = 9,832.08 × 5,959.71
  4. Step 4: Simplify right side
    6,553.91x = 58,596,367.85
  5. Step 5: Solve for x
    x = 58,596,367.85/6,553.91
  6. Step 6: Final answer
    x = 8,940.67

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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.