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Finding the Fourth Proportional to 9,460.44, 14,200.14 and 3,917.04

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Solution

The fourth proportional to 9,460.44, 14,200.14 and 3,917.04 is: 5,879.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.44 : 14,200.14 = 3,917.04 : x
  2. Step 2: Convert to fraction form
    9,460.44/14,200.14 = 3,917.04/x
  3. Step 3: Cross multiply
    9,460.44x = 14,200.14 × 3,917.04
  4. Step 4: Simplify right side
    9,460.44x = 55,622,516.39
  5. Step 5: Solve for x
    x = 55,622,516.39/9,460.44
  6. Step 6: Final answer
    x = 5,879.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.