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Finding the Fourth Proportional to 9,451.57, 14,180.13 and 3,905.23

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Solution

The fourth proportional to 9,451.57, 14,180.13 and 3,905.23 is: 5,858.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.57 : 14,180.13 = 3,905.23 : x
  2. Step 2: Convert to fraction form
    9,451.57/14,180.13 = 3,905.23/x
  3. Step 3: Cross multiply
    9,451.57x = 14,180.13 × 3,905.23
  4. Step 4: Simplify right side
    9,451.57x = 55,376,669.08
  5. Step 5: Solve for x
    x = 55,376,669.08/9,451.57
  6. Step 6: Final answer
    x = 5,858.99

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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.