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Finding the Fourth Proportional to 9,356.92, 12,912.84 and 5,378.84

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Solution

The fourth proportional to 9,356.92, 12,912.84 and 5,378.84 is: 7,422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.92 : 12,912.84 = 5,378.84 : x
  2. Step 2: Convert to fraction form
    9,356.92/12,912.84 = 5,378.84/x
  3. Step 3: Cross multiply
    9,356.92x = 12,912.84 × 5,378.84
  4. Step 4: Simplify right side
    9,356.92x = 69,456,100.31
  5. Step 5: Solve for x
    x = 69,456,100.31/9,356.92
  6. Step 6: Final answer
    x = 7,422.97

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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.