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Finding the Fourth Proportional to 9,410.74, 14,118.48 and 2,836.78

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Solution

The fourth proportional to 9,410.74, 14,118.48 and 2,836.78 is: 4,255.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.74 : 14,118.48 = 2,836.78 : x
  2. Step 2: Convert to fraction form
    9,410.74/14,118.48 = 2,836.78/x
  3. Step 3: Cross multiply
    9,410.74x = 14,118.48 × 2,836.78
  4. Step 4: Simplify right side
    9,410.74x = 40,051,021.69
  5. Step 5: Solve for x
    x = 40,051,021.69/9,410.74
  6. Step 6: Final answer
    x = 4,255.88

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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.