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Finding the Fourth Proportional to 9,982.41, 13,773.82 and 6,837.45

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Solution

The fourth proportional to 9,982.41, 13,773.82 and 6,837.45 is: 9,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.41 : 13,773.82 = 6,837.45 : x
  2. Step 2: Convert to fraction form
    9,982.41/13,773.82 = 6,837.45/x
  3. Step 3: Cross multiply
    9,982.41x = 13,773.82 × 6,837.45
  4. Step 4: Simplify right side
    9,982.41x = 94,177,805.56
  5. Step 5: Solve for x
    x = 94,177,805.56/9,982.41
  6. Step 6: Final answer
    x = 9,434.38

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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.