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Finding the Fourth Proportional to 9,943.80, 14,910.02 and 4,093.44

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Solution

The fourth proportional to 9,943.80, 14,910.02 and 4,093.44 is: 6,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,943.80 : 14,910.02 = 4,093.44 : x
  2. Step 2: Convert to fraction form
    9,943.80/14,910.02 = 4,093.44/x
  3. Step 3: Cross multiply
    9,943.80x = 14,910.02 × 4,093.44
  4. Step 4: Simplify right side
    9,943.80x = 61,033,272.27
  5. Step 5: Solve for x
    x = 61,033,272.27/9,943.80
  6. Step 6: Final answer
    x = 6,137.82

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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.