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Finding the Fourth Proportional to 9,992.16, 13,786.66 and 5,744.42

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Solution

The fourth proportional to 9,992.16, 13,786.66 and 5,744.42 is: 7,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.16 : 13,786.66 = 5,744.42 : x
  2. Step 2: Convert to fraction form
    9,992.16/13,786.66 = 5,744.42/x
  3. Step 3: Cross multiply
    9,992.16x = 13,786.66 × 5,744.42
  4. Step 4: Simplify right side
    9,992.16x = 79,196,323.07
  5. Step 5: Solve for x
    x = 79,196,323.07/9,992.16
  6. Step 6: Final answer
    x = 7,925.85

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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.