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Finding the Fourth Proportional to 6,466.38, 9,694.98 and 3,177.36

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Solution

The fourth proportional to 6,466.38, 9,694.98 and 3,177.36 is: 4,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.38 : 9,694.98 = 3,177.36 : x
  2. Step 2: Convert to fraction form
    6,466.38/9,694.98 = 3,177.36/x
  3. Step 3: Cross multiply
    6,466.38x = 9,694.98 × 3,177.36
  4. Step 4: Simplify right side
    6,466.38x = 30,804,441.65
  5. Step 5: Solve for x
    x = 30,804,441.65/6,466.38
  6. Step 6: Final answer
    x = 4,763.78

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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.