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Finding the Fourth Proportional to 9,912.97, 13,680.09 and 5,436.45

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Solution

The fourth proportional to 9,912.97, 13,680.09 and 5,436.45 is: 7,502.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.97 : 13,680.09 = 5,436.45 : x
  2. Step 2: Convert to fraction form
    9,912.97/13,680.09 = 5,436.45/x
  3. Step 3: Cross multiply
    9,912.97x = 13,680.09 × 5,436.45
  4. Step 4: Simplify right side
    9,912.97x = 74,371,125.28
  5. Step 5: Solve for x
    x = 74,371,125.28/9,912.97
  6. Step 6: Final answer
    x = 7,502.41

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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.