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Finding the Fourth Proportional to 9,197.27, 13,771.12 and 5,847.40

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Solution

The fourth proportional to 9,197.27, 13,771.12 and 5,847.40 is: 8,755.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.27 : 13,771.12 = 5,847.40 : x
  2. Step 2: Convert to fraction form
    9,197.27/13,771.12 = 5,847.40/x
  3. Step 3: Cross multiply
    9,197.27x = 13,771.12 × 5,847.40
  4. Step 4: Simplify right side
    9,197.27x = 80,525,247.09
  5. Step 5: Solve for x
    x = 80,525,247.09/9,197.27
  6. Step 6: Final answer
    x = 8,755.34

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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.