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Finding the Fourth Proportional to 6,266.16, 9,382.23 and 4,069.44

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Solution

The fourth proportional to 6,266.16, 9,382.23 and 4,069.44 is: 6,093.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.16 : 9,382.23 = 4,069.44 : x
  2. Step 2: Convert to fraction form
    6,266.16/9,382.23 = 4,069.44/x
  3. Step 3: Cross multiply
    6,266.16x = 9,382.23 × 4,069.44
  4. Step 4: Simplify right side
    6,266.16x = 38,180,422.05
  5. Step 5: Solve for x
    x = 38,180,422.05/6,266.16
  6. Step 6: Final answer
    x = 6,093.11

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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.