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Finding the Fourth Proportional to 9,986.87, 13,786.87 and 6,211.25

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Solution

The fourth proportional to 9,986.87, 13,786.87 and 6,211.25 is: 8,574.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.87 : 13,786.87 = 6,211.25 : x
  2. Step 2: Convert to fraction form
    9,986.87/13,786.87 = 6,211.25/x
  3. Step 3: Cross multiply
    9,986.87x = 13,786.87 × 6,211.25
  4. Step 4: Simplify right side
    9,986.87x = 85,633,720.98
  5. Step 5: Solve for x
    x = 85,633,720.98/9,986.87
  6. Step 6: Final answer
    x = 8,574.63

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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.