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Finding the Fourth Proportional to 6,811.56, 9,400.12 and 3,827.22

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Solution

The fourth proportional to 6,811.56, 9,400.12 and 3,827.22 is: 5,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.56 : 9,400.12 = 3,827.22 : x
  2. Step 2: Convert to fraction form
    6,811.56/9,400.12 = 3,827.22/x
  3. Step 3: Cross multiply
    6,811.56x = 9,400.12 × 3,827.22
  4. Step 4: Simplify right side
    6,811.56x = 35,976,282.45
  5. Step 5: Solve for x
    x = 35,976,282.45/6,811.56
  6. Step 6: Final answer
    x = 5,281.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.