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Finding the Fourth Proportional to 9,179.10, 13,770.41 and 3,914.01

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Solution

The fourth proportional to 9,179.10, 13,770.41 and 3,914.01 is: 5,871.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.10 : 13,770.41 = 3,914.01 : x
  2. Step 2: Convert to fraction form
    9,179.10/13,770.41 = 3,914.01/x
  3. Step 3: Cross multiply
    9,179.10x = 13,770.41 × 3,914.01
  4. Step 4: Simplify right side
    9,179.10x = 53,897,502.87
  5. Step 5: Solve for x
    x = 53,897,502.87/9,179.10
  6. Step 6: Final answer
    x = 5,871.76

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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.