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Finding the Fourth Proportional to 9,769.11, 13,480.73 and 6,231.94

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Solution

The fourth proportional to 9,769.11, 13,480.73 and 6,231.94 is: 8,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.11 : 13,480.73 = 6,231.94 : x
  2. Step 2: Convert to fraction form
    9,769.11/13,480.73 = 6,231.94/x
  3. Step 3: Cross multiply
    9,769.11x = 13,480.73 × 6,231.94
  4. Step 4: Simplify right side
    9,769.11x = 84,011,059.02
  5. Step 5: Solve for x
    x = 84,011,059.02/9,769.11
  6. Step 6: Final answer
    x = 8,599.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.