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Finding the Fourth Proportional to 9,410.88, 14,118.16 and 2,836.80

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Solution

The fourth proportional to 9,410.88, 14,118.16 and 2,836.80 is: 4,255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.88 : 14,118.16 = 2,836.80 : x
  2. Step 2: Convert to fraction form
    9,410.88/14,118.16 = 2,836.80/x
  3. Step 3: Cross multiply
    9,410.88x = 14,118.16 × 2,836.80
  4. Step 4: Simplify right side
    9,410.88x = 40,050,396.29
  5. Step 5: Solve for x
    x = 40,050,396.29/9,410.88
  6. Step 6: Final answer
    x = 4,255.75

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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.