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Finding the Fourth Proportional to 9,936.64, 13,718.96 and 6,163.84

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Solution

The fourth proportional to 9,936.64, 13,718.96 and 6,163.84 is: 8,510.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936.64 : 13,718.96 = 6,163.84 : x
  2. Step 2: Convert to fraction form
    9,936.64/13,718.96 = 6,163.84/x
  3. Step 3: Cross multiply
    9,936.64x = 13,718.96 × 6,163.84
  4. Step 4: Simplify right side
    9,936.64x = 84,561,474.41
  5. Step 5: Solve for x
    x = 84,561,474.41/9,936.64
  6. Step 6: Final answer
    x = 8,510.07

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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.