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Finding the Fourth Proportional to 9,457, 14,183.88 and 2,529.88

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Solution

The fourth proportional to 9,457, 14,183.88 and 2,529.88 is: 3,794.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457 : 14,183.88 = 2,529.88 : x
  2. Step 2: Convert to fraction form
    9,457/14,183.88 = 2,529.88/x
  3. Step 3: Cross multiply
    9,457x = 14,183.88 × 2,529.88
  4. Step 4: Simplify right side
    9,457x = 35,883,514.33
  5. Step 5: Solve for x
    x = 35,883,514.33/9,457
  6. Step 6: Final answer
    x = 3,794.39

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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.