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Finding the Fourth Proportional to 9,157.67, 13,727.27 and 3,608.86

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Solution

The fourth proportional to 9,157.67, 13,727.27 and 3,608.86 is: 5,409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.67 : 13,727.27 = 3,608.86 : x
  2. Step 2: Convert to fraction form
    9,157.67/13,727.27 = 3,608.86/x
  3. Step 3: Cross multiply
    9,157.67x = 13,727.27 × 3,608.86
  4. Step 4: Simplify right side
    9,157.67x = 49,539,795.61
  5. Step 5: Solve for x
    x = 49,539,795.61/9,157.67
  6. Step 6: Final answer
    x = 5,409.65

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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.