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Finding the Fourth Proportional to 9,766.98, 14,650.88 and 2,747.12

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Solution

The fourth proportional to 9,766.98, 14,650.88 and 2,747.12 is: 4,120.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.98 : 14,650.88 = 2,747.12 : x
  2. Step 2: Convert to fraction form
    9,766.98/14,650.88 = 2,747.12/x
  3. Step 3: Cross multiply
    9,766.98x = 14,650.88 × 2,747.12
  4. Step 4: Simplify right side
    9,766.98x = 40,247,638.48
  5. Step 5: Solve for x
    x = 40,247,638.48/9,766.98
  6. Step 6: Final answer
    x = 4,120.79

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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.