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Finding the Fourth Proportional to 6,414.12, 9,620.93 and 2,255.07

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Solution

The fourth proportional to 6,414.12, 9,620.93 and 2,255.07 is: 3,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.12 : 9,620.93 = 2,255.07 : x
  2. Step 2: Convert to fraction form
    6,414.12/9,620.93 = 2,255.07/x
  3. Step 3: Cross multiply
    6,414.12x = 9,620.93 × 2,255.07
  4. Step 4: Simplify right side
    6,414.12x = 21,695,859.34
  5. Step 5: Solve for x
    x = 21,695,859.34/6,414.12
  6. Step 6: Final answer
    x = 3,382.52

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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.