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Finding the Fourth Proportional to 9,182.49, 13,773.48 and 2,942.25

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Solution

The fourth proportional to 9,182.49, 13,773.48 and 2,942.25 is: 4,413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.49 : 13,773.48 = 2,942.25 : x
  2. Step 2: Convert to fraction form
    9,182.49/13,773.48 = 2,942.25/x
  3. Step 3: Cross multiply
    9,182.49x = 13,773.48 × 2,942.25
  4. Step 4: Simplify right side
    9,182.49x = 40,525,021.53
  5. Step 5: Solve for x
    x = 40,525,021.53/9,182.49
  6. Step 6: Final answer
    x = 4,413.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.