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Finding the Fourth Proportional to 9,769.96, 14,652.13 and 2,749.49

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Solution

The fourth proportional to 9,769.96, 14,652.13 and 2,749.49 is: 4,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.96 : 14,652.13 = 2,749.49 : x
  2. Step 2: Convert to fraction form
    9,769.96/14,652.13 = 2,749.49/x
  3. Step 3: Cross multiply
    9,769.96x = 14,652.13 × 2,749.49
  4. Step 4: Simplify right side
    9,769.96x = 40,285,884.91
  5. Step 5: Solve for x
    x = 40,285,884.91/9,769.96
  6. Step 6: Final answer
    x = 4,123.44

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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.