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Finding the Fourth Proportional to 9,915.12, 13,652.82 and 9,696.42

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Solution

The fourth proportional to 9,915.12, 13,652.82 and 9,696.42 is: 13,351.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.12 : 13,652.82 = 9,696.42 : x
  2. Step 2: Convert to fraction form
    9,915.12/13,652.82 = 9,696.42/x
  3. Step 3: Cross multiply
    9,915.12x = 13,652.82 × 9,696.42
  4. Step 4: Simplify right side
    9,915.12x = 132,383,476.90
  5. Step 5: Solve for x
    x = 132,383,476.90/9,915.12
  6. Step 6: Final answer
    x = 13,351.68

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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.