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Finding the Fourth Proportional to 10,299.40, 14,224.85 and 6,936.37

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Solution

The fourth proportional to 10,299.40, 14,224.85 and 6,936.37 is: 9,580.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.40 : 14,224.85 = 6,936.37 : x
  2. Step 2: Convert to fraction form
    10,299.40/14,224.85 = 6,936.37/x
  3. Step 3: Cross multiply
    10,299.40x = 14,224.85 × 6,936.37
  4. Step 4: Simplify right side
    10,299.40x = 98,668,822.79
  5. Step 5: Solve for x
    x = 98,668,822.79/10,299.40
  6. Step 6: Final answer
    x = 9,580.06

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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.