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Finding the Fourth Proportional to 9,741.09, 14,601.09 and 3,891.27

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Solution

The fourth proportional to 9,741.09, 14,601.09 and 3,891.27 is: 5,832.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.09 : 14,601.09 = 3,891.27 : x
  2. Step 2: Convert to fraction form
    9,741.09/14,601.09 = 3,891.27/x
  3. Step 3: Cross multiply
    9,741.09x = 14,601.09 × 3,891.27
  4. Step 4: Simplify right side
    9,741.09x = 56,816,783.48
  5. Step 5: Solve for x
    x = 56,816,783.48/9,741.09
  6. Step 6: Final answer
    x = 5,832.69

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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.