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Finding the Fourth Proportional to 6,652.17, 9,179.91 and 3,857.67

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Solution

The fourth proportional to 6,652.17, 9,179.91 and 3,857.67 is: 5,323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.17 : 9,179.91 = 3,857.67 : x
  2. Step 2: Convert to fraction form
    6,652.17/9,179.91 = 3,857.67/x
  3. Step 3: Cross multiply
    6,652.17x = 9,179.91 × 3,857.67
  4. Step 4: Simplify right side
    6,652.17x = 35,413,063.41
  5. Step 5: Solve for x
    x = 35,413,063.41/6,652.17
  6. Step 6: Final answer
    x = 5,323.54

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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.