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Finding the Fourth Proportional to 9,171.96, 13,757.94 and 4,240.68

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Solution

The fourth proportional to 9,171.96, 13,757.94 and 4,240.68 is: 6,361.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.96 : 13,757.94 = 4,240.68 : x
  2. Step 2: Convert to fraction form
    9,171.96/13,757.94 = 4,240.68/x
  3. Step 3: Cross multiply
    9,171.96x = 13,757.94 × 4,240.68
  4. Step 4: Simplify right side
    9,171.96x = 58,343,021.00
  5. Step 5: Solve for x
    x = 58,343,021.00/9,171.96
  6. Step 6: Final answer
    x = 6,361.02

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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.