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Finding the Fourth Proportional to 9,523.48, 14,268.96 and 6,745.54

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Solution

The fourth proportional to 9,523.48, 14,268.96 and 6,745.54 is: 10,106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.48 : 14,268.96 = 6,745.54 : x
  2. Step 2: Convert to fraction form
    9,523.48/14,268.96 = 6,745.54/x
  3. Step 3: Cross multiply
    9,523.48x = 14,268.96 × 6,745.54
  4. Step 4: Simplify right side
    9,523.48x = 96,251,840.44
  5. Step 5: Solve for x
    x = 96,251,840.44/9,523.48
  6. Step 6: Final answer
    x = 10,106.79

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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.