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Finding the Fourth Proportional to 6,832.13, 9,424.01 and 4,309.84

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Solution

The fourth proportional to 6,832.13, 9,424.01 and 4,309.84 is: 5,944.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.13 : 9,424.01 = 4,309.84 : x
  2. Step 2: Convert to fraction form
    6,832.13/9,424.01 = 4,309.84/x
  3. Step 3: Cross multiply
    6,832.13x = 9,424.01 × 4,309.84
  4. Step 4: Simplify right side
    6,832.13x = 40,615,906.59
  5. Step 5: Solve for x
    x = 40,615,906.59/6,832.13
  6. Step 6: Final answer
    x = 5,944.84

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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.