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Finding the Fourth Proportional to 10,099.09, 13,936.05 and 6,322.10

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Solution

The fourth proportional to 10,099.09, 13,936.05 and 6,322.10 is: 8,724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.09 : 13,936.05 = 6,322.10 : x
  2. Step 2: Convert to fraction form
    10,099.09/13,936.05 = 6,322.10/x
  3. Step 3: Cross multiply
    10,099.09x = 13,936.05 × 6,322.10
  4. Step 4: Simplify right side
    10,099.09x = 88,105,032.02
  5. Step 5: Solve for x
    x = 88,105,032.02/10,099.09
  6. Step 6: Final answer
    x = 8,724.06

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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.