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Finding the Fourth Proportional to 6,266.20, 9,435.94 and 4,634.26

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Solution

The fourth proportional to 6,266.20, 9,435.94 and 4,634.26 is: 6,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.20 : 9,435.94 = 4,634.26 : x
  2. Step 2: Convert to fraction form
    6,266.20/9,435.94 = 4,634.26/x
  3. Step 3: Cross multiply
    6,266.20x = 9,435.94 × 4,634.26
  4. Step 4: Simplify right side
    6,266.20x = 43,728,599.30
  5. Step 5: Solve for x
    x = 43,728,599.30/6,266.20
  6. Step 6: Final answer
    x = 6,978.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.