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Finding the Fourth Proportional to 8,701.31, 11,993.78 and 6,809.85

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Solution

The fourth proportional to 8,701.31, 11,993.78 and 6,809.85 is: 9,386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,701.31 : 11,993.78 = 6,809.85 : x
  2. Step 2: Convert to fraction form
    8,701.31/11,993.78 = 6,809.85/x
  3. Step 3: Cross multiply
    8,701.31x = 11,993.78 × 6,809.85
  4. Step 4: Simplify right side
    8,701.31x = 81,675,808.68
  5. Step 5: Solve for x
    x = 81,675,808.68/8,701.31
  6. Step 6: Final answer
    x = 9,386.62

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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.