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Finding the Fourth Proportional to 9,414.34, 14,120.74 and 3,174.22

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Solution

The fourth proportional to 9,414.34, 14,120.74 and 3,174.22 is: 4,761.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.34 : 14,120.74 = 3,174.22 : x
  2. Step 2: Convert to fraction form
    9,414.34/14,120.74 = 3,174.22/x
  3. Step 3: Cross multiply
    9,414.34x = 14,120.74 × 3,174.22
  4. Step 4: Simplify right side
    9,414.34x = 44,822,292.09
  5. Step 5: Solve for x
    x = 44,822,292.09/9,414.34
  6. Step 6: Final answer
    x = 4,761.07

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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.