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Finding the Fourth Proportional to 9,104.85, 13,640.27 and 5,197.41

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Solution

The fourth proportional to 9,104.85, 13,640.27 and 5,197.41 is: 7,786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.85 : 13,640.27 = 5,197.41 : x
  2. Step 2: Convert to fraction form
    9,104.85/13,640.27 = 5,197.41/x
  3. Step 3: Cross multiply
    9,104.85x = 13,640.27 × 5,197.41
  4. Step 4: Simplify right side
    9,104.85x = 70,894,049.71
  5. Step 5: Solve for x
    x = 70,894,049.71/9,104.85
  6. Step 6: Final answer
    x = 7,786.41

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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.