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Finding the Fourth Proportional to 9,181, 13,771.66 and 3,709

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Solution

The fourth proportional to 9,181, 13,771.66 and 3,709 is: 5,563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181 : 13,771.66 = 3,709 : x
  2. Step 2: Convert to fraction form
    9,181/13,771.66 = 3,709/x
  3. Step 3: Cross multiply
    9,181x = 13,771.66 × 3,709
  4. Step 4: Simplify right side
    9,181x = 51,079,086.94
  5. Step 5: Solve for x
    x = 51,079,086.94/9,181
  6. Step 6: Final answer
    x = 5,563.56

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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.