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Finding the Fourth Proportional to 6,682.32, 9,221.96 and 4,199.12

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Solution

The fourth proportional to 6,682.32, 9,221.96 and 4,199.12 is: 5,795.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.32 : 9,221.96 = 4,199.12 : x
  2. Step 2: Convert to fraction form
    6,682.32/9,221.96 = 4,199.12/x
  3. Step 3: Cross multiply
    6,682.32x = 9,221.96 × 4,199.12
  4. Step 4: Simplify right side
    6,682.32x = 38,724,116.68
  5. Step 5: Solve for x
    x = 38,724,116.68/6,682.32
  6. Step 6: Final answer
    x = 5,795.01

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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.