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Finding the Fourth Proportional to 9,182.87, 13,774.05 and 2,942.63

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Solution

The fourth proportional to 9,182.87, 13,774.05 and 2,942.63 is: 4,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.87 : 13,774.05 = 2,942.63 : x
  2. Step 2: Convert to fraction form
    9,182.87/13,774.05 = 2,942.63/x
  3. Step 3: Cross multiply
    9,182.87x = 13,774.05 × 2,942.63
  4. Step 4: Simplify right side
    9,182.87x = 40,531,915.53
  5. Step 5: Solve for x
    x = 40,531,915.53/9,182.87
  6. Step 6: Final answer
    x = 4,413.86

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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.