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Finding the Fourth Proportional to 6,981, 9,632.97 and 3,996.66

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Solution

The fourth proportional to 6,981, 9,632.97 and 3,996.66 is: 5,514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981 : 9,632.97 = 3,996.66 : x
  2. Step 2: Convert to fraction form
    6,981/9,632.97 = 3,996.66/x
  3. Step 3: Cross multiply
    6,981x = 9,632.97 × 3,996.66
  4. Step 4: Simplify right side
    6,981x = 38,499,705.88
  5. Step 5: Solve for x
    x = 38,499,705.88/6,981
  6. Step 6: Final answer
    x = 5,514.93

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