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Finding the Fourth Proportional to 9,163.50, 13,744.56 and 2,923.26

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Solution

The fourth proportional to 9,163.50, 13,744.56 and 2,923.26 is: 4,384.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.50 : 13,744.56 = 2,923.26 : x
  2. Step 2: Convert to fraction form
    9,163.50/13,744.56 = 2,923.26/x
  3. Step 3: Cross multiply
    9,163.50x = 13,744.56 × 2,923.26
  4. Step 4: Simplify right side
    9,163.50x = 40,178,922.47
  5. Step 5: Solve for x
    x = 40,178,922.47/9,163.50
  6. Step 6: Final answer
    x = 4,384.67

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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.