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Finding the Fourth Proportional to 9,261.30, 13,859.12 and 8,167.80

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Solution

The fourth proportional to 9,261.30, 13,859.12 and 8,167.80 is: 12,222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.30 : 13,859.12 = 8,167.80 : x
  2. Step 2: Convert to fraction form
    9,261.30/13,859.12 = 8,167.80/x
  3. Step 3: Cross multiply
    9,261.30x = 13,859.12 × 8,167.80
  4. Step 4: Simplify right side
    9,261.30x = 113,198,520.34
  5. Step 5: Solve for x
    x = 113,198,520.34/9,261.30
  6. Step 6: Final answer
    x = 12,222.75

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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.