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Finding the Fourth Proportional to 9,809.96, 13,540.70 and 6,667.97

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Solution

The fourth proportional to 9,809.96, 13,540.70 and 6,667.97 is: 9,203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.96 : 13,540.70 = 6,667.97 : x
  2. Step 2: Convert to fraction form
    9,809.96/13,540.70 = 6,667.97/x
  3. Step 3: Cross multiply
    9,809.96x = 13,540.70 × 6,667.97
  4. Step 4: Simplify right side
    9,809.96x = 90,288,930.35
  5. Step 5: Solve for x
    x = 90,288,930.35/9,809.96
  6. Step 6: Final answer
    x = 9,203.81

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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.