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Finding the Fourth Proportional to 8,765.97, 12,096.57 and 4,786.31

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Solution

The fourth proportional to 8,765.97, 12,096.57 and 4,786.31 is: 6,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.97 : 12,096.57 = 4,786.31 : x
  2. Step 2: Convert to fraction form
    8,765.97/12,096.57 = 4,786.31/x
  3. Step 3: Cross multiply
    8,765.97x = 12,096.57 × 4,786.31
  4. Step 4: Simplify right side
    8,765.97x = 57,897,914.10
  5. Step 5: Solve for x
    x = 57,897,914.10/8,765.97
  6. Step 6: Final answer
    x = 6,604.85

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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.