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Finding the Fourth Proportional to 9,296.28, 12,824.11 and 5,935.56

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Solution

The fourth proportional to 9,296.28, 12,824.11 and 5,935.56 is: 8,188.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.28 : 12,824.11 = 5,935.56 : x
  2. Step 2: Convert to fraction form
    9,296.28/12,824.11 = 5,935.56/x
  3. Step 3: Cross multiply
    9,296.28x = 12,824.11 × 5,935.56
  4. Step 4: Simplify right side
    9,296.28x = 76,118,274.35
  5. Step 5: Solve for x
    x = 76,118,274.35/9,296.28
  6. Step 6: Final answer
    x = 8,188.04

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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.