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Finding the Fourth Proportional to 9,916.12, 13,679.04 and 5,936.05

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Solution

The fourth proportional to 9,916.12, 13,679.04 and 5,936.05 is: 8,188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.12 : 13,679.04 = 5,936.05 : x
  2. Step 2: Convert to fraction form
    9,916.12/13,679.04 = 5,936.05/x
  3. Step 3: Cross multiply
    9,916.12x = 13,679.04 × 5,936.05
  4. Step 4: Simplify right side
    9,916.12x = 81,199,465.39
  5. Step 5: Solve for x
    x = 81,199,465.39/9,916.12
  6. Step 6: Final answer
    x = 8,188.63

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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.