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Finding the Fourth Proportional to 6,992.09, 9,651.14 and 4,161.47

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Solution

The fourth proportional to 6,992.09, 9,651.14 and 4,161.47 is: 5,744.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.09 : 9,651.14 = 4,161.47 : x
  2. Step 2: Convert to fraction form
    6,992.09/9,651.14 = 4,161.47/x
  3. Step 3: Cross multiply
    6,992.09x = 9,651.14 × 4,161.47
  4. Step 4: Simplify right side
    6,992.09x = 40,162,860.51
  5. Step 5: Solve for x
    x = 40,162,860.51/6,992.09
  6. Step 6: Final answer
    x = 5,744.05

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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.