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Finding the Fourth Proportional to 9,992.42, 13,786.78 and 5,743.26

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Solution

The fourth proportional to 9,992.42, 13,786.78 and 5,743.26 is: 7,924.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.42 : 13,786.78 = 5,743.26 : x
  2. Step 2: Convert to fraction form
    9,992.42/13,786.78 = 5,743.26/x
  3. Step 3: Cross multiply
    9,992.42x = 13,786.78 × 5,743.26
  4. Step 4: Simplify right side
    9,992.42x = 79,181,062.10
  5. Step 5: Solve for x
    x = 79,181,062.10/9,992.42
  6. Step 6: Final answer
    x = 7,924.11

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