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Finding the Fourth Proportional to 9,769.34, 13,476.53 and 5,993.33

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Solution

The fourth proportional to 9,769.34, 13,476.53 and 5,993.33 is: 8,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.34 : 13,476.53 = 5,993.33 : x
  2. Step 2: Convert to fraction form
    9,769.34/13,476.53 = 5,993.33/x
  3. Step 3: Cross multiply
    9,769.34x = 13,476.53 × 5,993.33
  4. Step 4: Simplify right side
    9,769.34x = 80,769,239.15
  5. Step 5: Solve for x
    x = 80,769,239.15/9,769.34
  6. Step 6: Final answer
    x = 8,267.62

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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.