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Finding the Fourth Proportional to 9,915.33, 13,682.14 and 5,936.34

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Solution

The fourth proportional to 9,915.33, 13,682.14 and 5,936.34 is: 8,191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.33 : 13,682.14 = 5,936.34 : x
  2. Step 2: Convert to fraction form
    9,915.33/13,682.14 = 5,936.34/x
  3. Step 3: Cross multiply
    9,915.33x = 13,682.14 × 5,936.34
  4. Step 4: Simplify right side
    9,915.33x = 81,221,834.97
  5. Step 5: Solve for x
    x = 81,221,834.97/9,915.33
  6. Step 6: Final answer
    x = 8,191.54

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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.