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Finding the Fourth Proportional to 9,843.73, 13,583.85 and 5,594.68

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Solution

The fourth proportional to 9,843.73, 13,583.85 and 5,594.68 is: 7,720.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.73 : 13,583.85 = 5,594.68 : x
  2. Step 2: Convert to fraction form
    9,843.73/13,583.85 = 5,594.68/x
  3. Step 3: Cross multiply
    9,843.73x = 13,583.85 × 5,594.68
  4. Step 4: Simplify right side
    9,843.73x = 75,997,293.92
  5. Step 5: Solve for x
    x = 75,997,293.92/9,843.73
  6. Step 6: Final answer
    x = 7,720.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.