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Finding the Fourth Proportional to 9,914.76, 14,874.30 and 4,067.64

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Solution

The fourth proportional to 9,914.76, 14,874.30 and 4,067.64 is: 6,102.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.76 : 14,874.30 = 4,067.64 : x
  2. Step 2: Convert to fraction form
    9,914.76/14,874.30 = 4,067.64/x
  3. Step 3: Cross multiply
    9,914.76x = 14,874.30 × 4,067.64
  4. Step 4: Simplify right side
    9,914.76x = 60,503,297.65
  5. Step 5: Solve for x
    x = 60,503,297.65/9,914.76
  6. Step 6: Final answer
    x = 6,102.35

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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.