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Finding the Fourth Proportional to 9,863.85, 13,609.87 and 5,884.19

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Solution

The fourth proportional to 9,863.85, 13,609.87 and 5,884.19 is: 8,118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.85 : 13,609.87 = 5,884.19 : x
  2. Step 2: Convert to fraction form
    9,863.85/13,609.87 = 5,884.19/x
  3. Step 3: Cross multiply
    9,863.85x = 13,609.87 × 5,884.19
  4. Step 4: Simplify right side
    9,863.85x = 80,083,060.96
  5. Step 5: Solve for x
    x = 80,083,060.96/9,863.85
  6. Step 6: Final answer
    x = 8,118.84

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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.