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Finding the Fourth Proportional to 9,914.97, 14,872.87 and 2,519.63

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Solution

The fourth proportional to 9,914.97, 14,872.87 and 2,519.63 is: 3,779.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.97 : 14,872.87 = 2,519.63 : x
  2. Step 2: Convert to fraction form
    9,914.97/14,872.87 = 2,519.63/x
  3. Step 3: Cross multiply
    9,914.97x = 14,872.87 × 2,519.63
  4. Step 4: Simplify right side
    9,914.97x = 37,474,114.00
  5. Step 5: Solve for x
    x = 37,474,114.00/9,914.97
  6. Step 6: Final answer
    x = 3,779.55

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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.