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Finding the Fourth Proportional to 8,782.37, 13,174.69 and 3,234.68

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Solution

The fourth proportional to 8,782.37, 13,174.69 and 3,234.68 is: 4,852.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.37 : 13,174.69 = 3,234.68 : x
  2. Step 2: Convert to fraction form
    8,782.37/13,174.69 = 3,234.68/x
  3. Step 3: Cross multiply
    8,782.37x = 13,174.69 × 3,234.68
  4. Step 4: Simplify right side
    8,782.37x = 42,615,906.25
  5. Step 5: Solve for x
    x = 42,615,906.25/8,782.37
  6. Step 6: Final answer
    x = 4,852.44

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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.