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Finding the Fourth Proportional to 6,099.34, 8,415.30 and 3,832.54

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Solution

The fourth proportional to 6,099.34, 8,415.30 and 3,832.54 is: 5,287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.34 : 8,415.30 = 3,832.54 : x
  2. Step 2: Convert to fraction form
    6,099.34/8,415.30 = 3,832.54/x
  3. Step 3: Cross multiply
    6,099.34x = 8,415.30 × 3,832.54
  4. Step 4: Simplify right side
    6,099.34x = 32,251,973.86
  5. Step 5: Solve for x
    x = 32,251,973.86/6,099.34
  6. Step 6: Final answer
    x = 5,287.78

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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.