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Finding the Fourth Proportional to 9,467.58, 14,201.01 and 3,919.50

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Solution

The fourth proportional to 9,467.58, 14,201.01 and 3,919.50 is: 5,879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.58 : 14,201.01 = 3,919.50 : x
  2. Step 2: Convert to fraction form
    9,467.58/14,201.01 = 3,919.50/x
  3. Step 3: Cross multiply
    9,467.58x = 14,201.01 × 3,919.50
  4. Step 4: Simplify right side
    9,467.58x = 55,660,858.70
  5. Step 5: Solve for x
    x = 55,660,858.70/9,467.58
  6. Step 6: Final answer
    x = 5,879.10

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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.