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Finding the Fourth Proportional to 9,832.94, 13,568.43 and 5,853.28

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Solution

The fourth proportional to 9,832.94, 13,568.43 and 5,853.28 is: 8,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.94 : 13,568.43 = 5,853.28 : x
  2. Step 2: Convert to fraction form
    9,832.94/13,568.43 = 5,853.28/x
  3. Step 3: Cross multiply
    9,832.94x = 13,568.43 × 5,853.28
  4. Step 4: Simplify right side
    9,832.94x = 79,419,819.95
  5. Step 5: Solve for x
    x = 79,419,819.95/9,832.94
  6. Step 6: Final answer
    x = 8,076.91

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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.