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Finding the Fourth Proportional to 9,767.54, 13,474.81 and 5,989.19

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Solution

The fourth proportional to 9,767.54, 13,474.81 and 5,989.19 is: 8,262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.54 : 13,474.81 = 5,989.19 : x
  2. Step 2: Convert to fraction form
    9,767.54/13,474.81 = 5,989.19/x
  3. Step 3: Cross multiply
    9,767.54x = 13,474.81 × 5,989.19
  4. Step 4: Simplify right side
    9,767.54x = 80,703,179.52
  5. Step 5: Solve for x
    x = 80,703,179.52/9,767.54
  6. Step 6: Final answer
    x = 8,262.39

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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.