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Finding the Fourth Proportional to 9,299.07, 13,936.25 and 6,822.29

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Solution

The fourth proportional to 9,299.07, 13,936.25 and 6,822.29 is: 10,224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.07 : 13,936.25 = 6,822.29 : x
  2. Step 2: Convert to fraction form
    9,299.07/13,936.25 = 6,822.29/x
  3. Step 3: Cross multiply
    9,299.07x = 13,936.25 × 6,822.29
  4. Step 4: Simplify right side
    9,299.07x = 95,077,035.22
  5. Step 5: Solve for x
    x = 95,077,035.22/9,299.07
  6. Step 6: Final answer
    x = 10,224.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.