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Finding the Fourth Proportional to 9,295.28, 12,822.73 and 5,934.56

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Solution

The fourth proportional to 9,295.28, 12,822.73 and 5,934.56 is: 8,186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.28 : 12,822.73 = 5,934.56 : x
  2. Step 2: Convert to fraction form
    9,295.28/12,822.73 = 5,934.56/x
  3. Step 3: Cross multiply
    9,295.28x = 12,822.73 × 5,934.56
  4. Step 4: Simplify right side
    9,295.28x = 76,097,299.13
  5. Step 5: Solve for x
    x = 76,097,299.13/9,295.28
  6. Step 6: Final answer
    x = 8,186.66

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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.