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Finding the Fourth Proportional to 6,022.26, 9,034.24 and 1,862.62

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Solution

The fourth proportional to 6,022.26, 9,034.24 and 1,862.62 is: 2,794.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.26 : 9,034.24 = 1,862.62 : x
  2. Step 2: Convert to fraction form
    6,022.26/9,034.24 = 1,862.62/x
  3. Step 3: Cross multiply
    6,022.26x = 9,034.24 × 1,862.62
  4. Step 4: Simplify right side
    6,022.26x = 16,827,356.11
  5. Step 5: Solve for x
    x = 16,827,356.11/6,022.26
  6. Step 6: Final answer
    x = 2,794.19

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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.