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Finding the Fourth Proportional to 6,096.48, 8,412.39 and 4,327.44

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Solution

The fourth proportional to 6,096.48, 8,412.39 and 4,327.44 is: 5,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.48 : 8,412.39 = 4,327.44 : x
  2. Step 2: Convert to fraction form
    6,096.48/8,412.39 = 4,327.44/x
  3. Step 3: Cross multiply
    6,096.48x = 8,412.39 × 4,327.44
  4. Step 4: Simplify right side
    6,096.48x = 36,404,112.98
  5. Step 5: Solve for x
    x = 36,404,112.98/6,096.48
  6. Step 6: Final answer
    x = 5,971.33

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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.