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Finding the Fourth Proportional to 9,884.92, 13,638.84 and 6,352.96

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Solution

The fourth proportional to 9,884.92, 13,638.84 and 6,352.96 is: 8,765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.92 : 13,638.84 = 6,352.96 : x
  2. Step 2: Convert to fraction form
    9,884.92/13,638.84 = 6,352.96/x
  3. Step 3: Cross multiply
    9,884.92x = 13,638.84 × 6,352.96
  4. Step 4: Simplify right side
    9,884.92x = 86,647,004.97
  5. Step 5: Solve for x
    x = 86,647,004.97/9,884.92
  6. Step 6: Final answer
    x = 8,765.57

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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.