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Finding the Fourth Proportional to 9,647.76, 14,469.45 and 2,722.80

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Solution

The fourth proportional to 9,647.76, 14,469.45 and 2,722.80 is: 4,083.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.76 : 14,469.45 = 2,722.80 : x
  2. Step 2: Convert to fraction form
    9,647.76/14,469.45 = 2,722.80/x
  3. Step 3: Cross multiply
    9,647.76x = 14,469.45 × 2,722.80
  4. Step 4: Simplify right side
    9,647.76x = 39,397,418.46
  5. Step 5: Solve for x
    x = 39,397,418.46/9,647.76
  6. Step 6: Final answer
    x = 4,083.58

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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.