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Finding the Fourth Proportional to 6,466.23, 9,696.95 and 2,305.12

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Solution

The fourth proportional to 6,466.23, 9,696.95 and 2,305.12 is: 3,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.23 : 9,696.95 = 2,305.12 : x
  2. Step 2: Convert to fraction form
    6,466.23/9,696.95 = 2,305.12/x
  3. Step 3: Cross multiply
    6,466.23x = 9,696.95 × 2,305.12
  4. Step 4: Simplify right side
    6,466.23x = 22,352,647.80
  5. Step 5: Solve for x
    x = 22,352,647.80/6,466.23
  6. Step 6: Final answer
    x = 3,456.83

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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.