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Finding the Fourth Proportional to 8,896.75, 12,277.43 and 4,917.67

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Solution

The fourth proportional to 8,896.75, 12,277.43 and 4,917.67 is: 6,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896.75 : 12,277.43 = 4,917.67 : x
  2. Step 2: Convert to fraction form
    8,896.75/12,277.43 = 4,917.67/x
  3. Step 3: Cross multiply
    8,896.75x = 12,277.43 × 4,917.67
  4. Step 4: Simplify right side
    8,896.75x = 60,376,324.60
  5. Step 5: Solve for x
    x = 60,376,324.60/8,896.75
  6. Step 6: Final answer
    x = 6,786.33

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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.