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Finding the Fourth Proportional to 6,189.66, 9,282.06 and 2,293.02

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Solution

The fourth proportional to 6,189.66, 9,282.06 and 2,293.02 is: 3,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.66 : 9,282.06 = 2,293.02 : x
  2. Step 2: Convert to fraction form
    6,189.66/9,282.06 = 2,293.02/x
  3. Step 3: Cross multiply
    6,189.66x = 9,282.06 × 2,293.02
  4. Step 4: Simplify right side
    6,189.66x = 21,283,949.22
  5. Step 5: Solve for x
    x = 21,283,949.22/6,189.66
  6. Step 6: Final answer
    x = 3,438.63

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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.