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Finding the Fourth Proportional to 9,293.94, 12,825 and 5,936.76

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Solution

The fourth proportional to 9,293.94, 12,825 and 5,936.76 is: 8,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.94 : 12,825 = 5,936.76 : x
  2. Step 2: Convert to fraction form
    9,293.94/12,825 = 5,936.76/x
  3. Step 3: Cross multiply
    9,293.94x = 12,825 × 5,936.76
  4. Step 4: Simplify right side
    9,293.94x = 76,138,947
  5. Step 5: Solve for x
    x = 76,138,947/9,293.94
  6. Step 6: Final answer
    x = 8,192.32

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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.