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Finding the Fourth Proportional to 9,458.38, 14,183.22 and 2,883.22

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Solution

The fourth proportional to 9,458.38, 14,183.22 and 2,883.22 is: 4,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.38 : 14,183.22 = 2,883.22 : x
  2. Step 2: Convert to fraction form
    9,458.38/14,183.22 = 2,883.22/x
  3. Step 3: Cross multiply
    9,458.38x = 14,183.22 × 2,883.22
  4. Step 4: Simplify right side
    9,458.38x = 40,893,343.57
  5. Step 5: Solve for x
    x = 40,893,343.57/9,458.38
  6. Step 6: Final answer
    x = 4,323.50

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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.