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Finding the Fourth Proportional to 9,914.94, 14,872.42 and 4,067.45

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Solution

The fourth proportional to 9,914.94, 14,872.42 and 4,067.45 is: 6,101.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.94 : 14,872.42 = 4,067.45 : x
  2. Step 2: Convert to fraction form
    9,914.94/14,872.42 = 4,067.45/x
  3. Step 3: Cross multiply
    9,914.94x = 14,872.42 × 4,067.45
  4. Step 4: Simplify right side
    9,914.94x = 60,492,824.73
  5. Step 5: Solve for x
    x = 60,492,824.73/9,914.94
  6. Step 6: Final answer
    x = 6,101.18

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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.