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Finding the Fourth Proportional to 6,981.14, 9,633.96 and 3,837.38

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Solution

The fourth proportional to 6,981.14, 9,633.96 and 3,837.38 is: 5,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.14 : 9,633.96 = 3,837.38 : x
  2. Step 2: Convert to fraction form
    6,981.14/9,633.96 = 3,837.38/x
  3. Step 3: Cross multiply
    6,981.14x = 9,633.96 × 3,837.38
  4. Step 4: Simplify right side
    6,981.14x = 36,969,165.42
  5. Step 5: Solve for x
    x = 36,969,165.42/6,981.14
  6. Step 6: Final answer
    x = 5,295.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.