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Finding the Fourth Proportional to 9,839.92, 13,574.28 and 5,859.76

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Solution

The fourth proportional to 9,839.92, 13,574.28 and 5,859.76 is: 8,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.92 : 13,574.28 = 5,859.76 : x
  2. Step 2: Convert to fraction form
    9,839.92/13,574.28 = 5,859.76/x
  3. Step 3: Cross multiply
    9,839.92x = 13,574.28 × 5,859.76
  4. Step 4: Simplify right side
    9,839.92x = 79,542,022.97
  5. Step 5: Solve for x
    x = 79,542,022.97/9,839.92
  6. Step 6: Final answer
    x = 8,083.60

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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.