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Finding the Fourth Proportional to 9,916.54, 13,685.25 and 5,936.88

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Solution

The fourth proportional to 9,916.54, 13,685.25 and 5,936.88 is: 8,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.54 : 13,685.25 = 5,936.88 : x
  2. Step 2: Convert to fraction form
    9,916.54/13,685.25 = 5,936.88/x
  3. Step 3: Cross multiply
    9,916.54x = 13,685.25 × 5,936.88
  4. Step 4: Simplify right side
    9,916.54x = 81,247,687.02
  5. Step 5: Solve for x
    x = 81,247,687.02/9,916.54
  6. Step 6: Final answer
    x = 8,193.15

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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.