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Finding the Fourth Proportional to 6,922.47, 10,382.14 and 1,991.01

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Solution

The fourth proportional to 6,922.47, 10,382.14 and 1,991.01 is: 2,986.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.47 : 10,382.14 = 1,991.01 : x
  2. Step 2: Convert to fraction form
    6,922.47/10,382.14 = 1,991.01/x
  3. Step 3: Cross multiply
    6,922.47x = 10,382.14 × 1,991.01
  4. Step 4: Simplify right side
    6,922.47x = 20,670,944.56
  5. Step 5: Solve for x
    x = 20,670,944.56/6,922.47
  6. Step 6: Final answer
    x = 2,986.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.