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Finding the Fourth Proportional to 9,241, 13,853.98 and 5,341

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Solution

The fourth proportional to 9,241, 13,853.98 and 5,341 is: 8,007.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241 : 13,853.98 = 5,341 : x
  2. Step 2: Convert to fraction form
    9,241/13,853.98 = 5,341/x
  3. Step 3: Cross multiply
    9,241x = 13,853.98 × 5,341
  4. Step 4: Simplify right side
    9,241x = 73,994,107.18
  5. Step 5: Solve for x
    x = 73,994,107.18/9,241
  6. Step 6: Final answer
    x = 8,007.15

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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.