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Finding the Fourth Proportional to 9,163.58, 13,747.08 and 4,166.31

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Solution

The fourth proportional to 9,163.58, 13,747.08 and 4,166.31 is: 6,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.58 : 13,747.08 = 4,166.31 : x
  2. Step 2: Convert to fraction form
    9,163.58/13,747.08 = 4,166.31/x
  3. Step 3: Cross multiply
    9,163.58x = 13,747.08 × 4,166.31
  4. Step 4: Simplify right side
    9,163.58x = 57,274,596.87
  5. Step 5: Solve for x
    x = 57,274,596.87/9,163.58
  6. Step 6: Final answer
    x = 6,250.24

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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.