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Finding the Fourth Proportional to 6,327.23, 8,732.07 and 4,656.31

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Solution

The fourth proportional to 6,327.23, 8,732.07 and 4,656.31 is: 6,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.23 : 8,732.07 = 4,656.31 : x
  2. Step 2: Convert to fraction form
    6,327.23/8,732.07 = 4,656.31/x
  3. Step 3: Cross multiply
    6,327.23x = 8,732.07 × 4,656.31
  4. Step 4: Simplify right side
    6,327.23x = 40,659,224.86
  5. Step 5: Solve for x
    x = 40,659,224.86/6,327.23
  6. Step 6: Final answer
    x = 6,426.07

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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.