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Finding the Fourth Proportional to 9,880.82, 13,635.75 and 5,901.19

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Solution

The fourth proportional to 9,880.82, 13,635.75 and 5,901.19 is: 8,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.82 : 13,635.75 = 5,901.19 : x
  2. Step 2: Convert to fraction form
    9,880.82/13,635.75 = 5,901.19/x
  3. Step 3: Cross multiply
    9,880.82x = 13,635.75 × 5,901.19
  4. Step 4: Simplify right side
    9,880.82x = 80,467,151.54
  5. Step 5: Solve for x
    x = 80,467,151.54/9,880.82
  6. Step 6: Final answer
    x = 8,143.77

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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.