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Finding the Fourth Proportional to 6,650.76, 9,178.16 and 3,997.65

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Solution

The fourth proportional to 6,650.76, 9,178.16 and 3,997.65 is: 5,516.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.76 : 9,178.16 = 3,997.65 : x
  2. Step 2: Convert to fraction form
    6,650.76/9,178.16 = 3,997.65/x
  3. Step 3: Cross multiply
    6,650.76x = 9,178.16 × 3,997.65
  4. Step 4: Simplify right side
    6,650.76x = 36,691,051.34
  5. Step 5: Solve for x
    x = 36,691,051.34/6,650.76
  6. Step 6: Final answer
    x = 5,516.82

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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.