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Finding the Fourth Proportional to 9,182.66, 13,774.50 and 2,608.31

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Solution

The fourth proportional to 9,182.66, 13,774.50 and 2,608.31 is: 3,912.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.66 : 13,774.50 = 2,608.31 : x
  2. Step 2: Convert to fraction form
    9,182.66/13,774.50 = 2,608.31/x
  3. Step 3: Cross multiply
    9,182.66x = 13,774.50 × 2,608.31
  4. Step 4: Simplify right side
    9,182.66x = 35,928,200.53
  5. Step 5: Solve for x
    x = 35,928,200.53/9,182.66
  6. Step 6: Final answer
    x = 3,912.62

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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.