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Finding the Fourth Proportional to 9,163.65, 13,739.22 and 4,230.54

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Solution

The fourth proportional to 9,163.65, 13,739.22 and 4,230.54 is: 6,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.65 : 13,739.22 = 4,230.54 : x
  2. Step 2: Convert to fraction form
    9,163.65/13,739.22 = 4,230.54/x
  3. Step 3: Cross multiply
    9,163.65x = 13,739.22 × 4,230.54
  4. Step 4: Simplify right side
    9,163.65x = 58,124,319.78
  5. Step 5: Solve for x
    x = 58,124,319.78/9,163.65
  6. Step 6: Final answer
    x = 6,342.92

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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.