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Finding the Fourth Proportional to 6,080.66, 9,123.36 and 2,382.24

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Solution

The fourth proportional to 6,080.66, 9,123.36 and 2,382.24 is: 3,574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,080.66 : 9,123.36 = 2,382.24 : x
  2. Step 2: Convert to fraction form
    6,080.66/9,123.36 = 2,382.24/x
  3. Step 3: Cross multiply
    6,080.66x = 9,123.36 × 2,382.24
  4. Step 4: Simplify right side
    6,080.66x = 21,734,033.13
  5. Step 5: Solve for x
    x = 21,734,033.13/6,080.66
  6. Step 6: Final answer
    x = 3,574.29

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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.