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Finding the Fourth Proportional to 8,694.56, 13,041.81 and 6,109.04

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Solution

The fourth proportional to 8,694.56, 13,041.81 and 6,109.04 is: 9,163.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.56 : 13,041.81 = 6,109.04 : x
  2. Step 2: Convert to fraction form
    8,694.56/13,041.81 = 6,109.04/x
  3. Step 3: Cross multiply
    8,694.56x = 13,041.81 × 6,109.04
  4. Step 4: Simplify right side
    8,694.56x = 79,672,873.75
  5. Step 5: Solve for x
    x = 79,672,873.75/8,694.56
  6. Step 6: Final answer
    x = 9,163.54

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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.