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Finding the Fourth Proportional to 6,427.13, 9,641.66 and 2,266.41

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Solution

The fourth proportional to 6,427.13, 9,641.66 and 2,266.41 is: 3,399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.13 : 9,641.66 = 2,266.41 : x
  2. Step 2: Convert to fraction form
    6,427.13/9,641.66 = 2,266.41/x
  3. Step 3: Cross multiply
    6,427.13x = 9,641.66 × 2,266.41
  4. Step 4: Simplify right side
    6,427.13x = 21,851,943.31
  5. Step 5: Solve for x
    x = 21,851,943.31/6,427.13
  6. Step 6: Final answer
    x = 3,399.96

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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.