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Finding the Fourth Proportional to 9,409.91, 14,116.21 and 3,083.44

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Solution

The fourth proportional to 9,409.91, 14,116.21 and 3,083.44 is: 4,625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.91 : 14,116.21 = 3,083.44 : x
  2. Step 2: Convert to fraction form
    9,409.91/14,116.21 = 3,083.44/x
  3. Step 3: Cross multiply
    9,409.91x = 14,116.21 × 3,083.44
  4. Step 4: Simplify right side
    9,409.91x = 43,526,487.38
  5. Step 5: Solve for x
    x = 43,526,487.38/9,409.91
  6. Step 6: Final answer
    x = 4,625.60

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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.