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Finding the Fourth Proportional to 8,200.09, 12,291 and 3,268.45

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Solution

The fourth proportional to 8,200.09, 12,291 and 3,268.45 is: 4,899.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.09 : 12,291 = 3,268.45 : x
  2. Step 2: Convert to fraction form
    8,200.09/12,291 = 3,268.45/x
  3. Step 3: Cross multiply
    8,200.09x = 12,291 × 3,268.45
  4. Step 4: Simplify right side
    8,200.09x = 40,172,518.95
  5. Step 5: Solve for x
    x = 40,172,518.95/8,200.09
  6. Step 6: Final answer
    x = 4,899.03

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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.