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Finding the Fourth Proportional to 6,427.33, 9,642.08 and 2,046.13

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Solution

The fourth proportional to 6,427.33, 9,642.08 and 2,046.13 is: 3,069.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.33 : 9,642.08 = 2,046.13 : x
  2. Step 2: Convert to fraction form
    6,427.33/9,642.08 = 2,046.13/x
  3. Step 3: Cross multiply
    6,427.33x = 9,642.08 × 2,046.13
  4. Step 4: Simplify right side
    6,427.33x = 19,728,938.92
  5. Step 5: Solve for x
    x = 19,728,938.92/6,427.33
  6. Step 6: Final answer
    x = 3,069.54

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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.