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Finding the Fourth Proportional to 9,182.16, 13,773.42 and 2,608.20

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Solution

The fourth proportional to 9,182.16, 13,773.42 and 2,608.20 is: 3,912.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.16 : 13,773.42 = 2,608.20 : x
  2. Step 2: Convert to fraction form
    9,182.16/13,773.42 = 2,608.20/x
  3. Step 3: Cross multiply
    9,182.16x = 13,773.42 × 2,608.20
  4. Step 4: Simplify right side
    9,182.16x = 35,923,834.04
  5. Step 5: Solve for x
    x = 35,923,834.04/9,182.16
  6. Step 6: Final answer
    x = 3,912.35

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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.