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Finding the Fourth Proportional to 9,493.74, 14,242.23 and 2,919.78

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Solution

The fourth proportional to 9,493.74, 14,242.23 and 2,919.78 is: 4,380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.74 : 14,242.23 = 2,919.78 : x
  2. Step 2: Convert to fraction form
    9,493.74/14,242.23 = 2,919.78/x
  3. Step 3: Cross multiply
    9,493.74x = 14,242.23 × 2,919.78
  4. Step 4: Simplify right side
    9,493.74x = 41,584,092.50
  5. Step 5: Solve for x
    x = 41,584,092.50/9,493.74
  6. Step 6: Final answer
    x = 4,380.16

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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.