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Finding the Fourth Proportional to 9,769.13, 14,651.94 and 2,747.46

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Solution

The fourth proportional to 9,769.13, 14,651.94 and 2,747.46 is: 4,120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.13 : 14,651.94 = 2,747.46 : x
  2. Step 2: Convert to fraction form
    9,769.13/14,651.94 = 2,747.46/x
  3. Step 3: Cross multiply
    9,769.13x = 14,651.94 × 2,747.46
  4. Step 4: Simplify right side
    9,769.13x = 40,255,586.45
  5. Step 5: Solve for x
    x = 40,255,586.45/9,769.13
  6. Step 6: Final answer
    x = 4,120.69

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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.