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Finding the Fourth Proportional to 6,327.86, 9,489.36 and 4,374.14

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Solution

The fourth proportional to 6,327.86, 9,489.36 and 4,374.14 is: 6,559.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.86 : 9,489.36 = 4,374.14 : x
  2. Step 2: Convert to fraction form
    6,327.86/9,489.36 = 4,374.14/x
  3. Step 3: Cross multiply
    6,327.86x = 9,489.36 × 4,374.14
  4. Step 4: Simplify right side
    6,327.86x = 41,507,789.15
  5. Step 5: Solve for x
    x = 41,507,789.15/6,327.86
  6. Step 6: Final answer
    x = 6,559.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.