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Finding the Fourth Proportional to 6,114.72, 9,163.86 and 3,337.23

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Solution

The fourth proportional to 6,114.72, 9,163.86 and 3,337.23 is: 5,001.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.72 : 9,163.86 = 3,337.23 : x
  2. Step 2: Convert to fraction form
    6,114.72/9,163.86 = 3,337.23/x
  3. Step 3: Cross multiply
    6,114.72x = 9,163.86 × 3,337.23
  4. Step 4: Simplify right side
    6,114.72x = 30,581,908.51
  5. Step 5: Solve for x
    x = 30,581,908.51/6,114.72
  6. Step 6: Final answer
    x = 5,001.36

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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.