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Finding the Fourth Proportional to 9,758, 14,544.34 and 9,189.92

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Solution

The fourth proportional to 9,758, 14,544.34 and 9,189.92 is: 13,697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758 : 14,544.34 = 9,189.92 : x
  2. Step 2: Convert to fraction form
    9,758/14,544.34 = 9,189.92/x
  3. Step 3: Cross multiply
    9,758x = 14,544.34 × 9,189.92
  4. Step 4: Simplify right side
    9,758x = 133,661,321.05
  5. Step 5: Solve for x
    x = 133,661,321.05/9,758
  6. Step 6: Final answer
    x = 13,697.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.