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Finding the Fourth Proportional to 9,181.96, 13,775.19 and 2,941.99

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Solution

The fourth proportional to 9,181.96, 13,775.19 and 2,941.99 is: 4,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.96 : 13,775.19 = 2,941.99 : x
  2. Step 2: Convert to fraction form
    9,181.96/13,775.19 = 2,941.99/x
  3. Step 3: Cross multiply
    9,181.96x = 13,775.19 × 2,941.99
  4. Step 4: Simplify right side
    9,181.96x = 40,526,471.23
  5. Step 5: Solve for x
    x = 40,526,471.23/9,181.96
  6. Step 6: Final answer
    x = 4,413.71

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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.