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Finding the Fourth Proportional to 9,226.50, 13,843.44 and 4,546.39

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Solution

The fourth proportional to 9,226.50, 13,843.44 and 4,546.39 is: 6,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.50 : 13,843.44 = 4,546.39 : x
  2. Step 2: Convert to fraction form
    9,226.50/13,843.44 = 4,546.39/x
  3. Step 3: Cross multiply
    9,226.50x = 13,843.44 × 4,546.39
  4. Step 4: Simplify right side
    9,226.50x = 62,937,677.18
  5. Step 5: Solve for x
    x = 62,937,677.18/9,226.50
  6. Step 6: Final answer
    x = 6,821.40

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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.