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Finding the Fourth Proportional to 9,165, 13,741.33 and 4,231.92

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Solution

The fourth proportional to 9,165, 13,741.33 and 4,231.92 is: 6,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165 : 13,741.33 = 4,231.92 : x
  2. Step 2: Convert to fraction form
    9,165/13,741.33 = 4,231.92/x
  3. Step 3: Cross multiply
    9,165x = 13,741.33 × 4,231.92
  4. Step 4: Simplify right side
    9,165x = 58,152,209.25
  5. Step 5: Solve for x
    x = 58,152,209.25/9,165
  6. Step 6: Final answer
    x = 6,345.03

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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.