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Finding the Fourth Proportional to 9,939, 14,914.32 and 4,467

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Solution

The fourth proportional to 9,939, 14,914.32 and 4,467 is: 6,703.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,939 : 14,914.32 = 4,467 : x
  2. Step 2: Convert to fraction form
    9,939/14,914.32 = 4,467/x
  3. Step 3: Cross multiply
    9,939x = 14,914.32 × 4,467
  4. Step 4: Simplify right side
    9,939x = 66,622,267.44
  5. Step 5: Solve for x
    x = 66,622,267.44/9,939
  6. Step 6: Final answer
    x = 6,703.12

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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.