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Finding the Fourth Proportional to 9,247.86, 13,871.79 and 7,857.90

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Solution

The fourth proportional to 9,247.86, 13,871.79 and 7,857.90 is: 11,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.86 : 13,871.79 = 7,857.90 : x
  2. Step 2: Convert to fraction form
    9,247.86/13,871.79 = 7,857.90/x
  3. Step 3: Cross multiply
    9,247.86x = 13,871.79 × 7,857.90
  4. Step 4: Simplify right side
    9,247.86x = 109,003,138.64
  5. Step 5: Solve for x
    x = 109,003,138.64/9,247.86
  6. Step 6: Final answer
    x = 11,786.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.