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Finding the Fourth Proportional to 9,391.93, 14,090.64 and 2,819.10

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Solution

The fourth proportional to 9,391.93, 14,090.64 and 2,819.10 is: 4,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.93 : 14,090.64 = 2,819.10 : x
  2. Step 2: Convert to fraction form
    9,391.93/14,090.64 = 2,819.10/x
  3. Step 3: Cross multiply
    9,391.93x = 14,090.64 × 2,819.10
  4. Step 4: Simplify right side
    9,391.93x = 39,722,923.22
  5. Step 5: Solve for x
    x = 39,722,923.22/9,391.93
  6. Step 6: Final answer
    x = 4,229.47

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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.