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Finding the Fourth Proportional to 6,664.92, 9,197.67 and 3,832.35

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Solution

The fourth proportional to 6,664.92, 9,197.67 and 3,832.35 is: 5,288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.92 : 9,197.67 = 3,832.35 : x
  2. Step 2: Convert to fraction form
    6,664.92/9,197.67 = 3,832.35/x
  3. Step 3: Cross multiply
    6,664.92x = 9,197.67 × 3,832.35
  4. Step 4: Simplify right side
    6,664.92x = 35,248,690.62
  5. Step 5: Solve for x
    x = 35,248,690.62/6,664.92
  6. Step 6: Final answer
    x = 5,288.69

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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.