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Finding the Fourth Proportional to 6,811.88, 9,400.43 and 3,828.74

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Solution

The fourth proportional to 6,811.88, 9,400.43 and 3,828.74 is: 5,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.88 : 9,400.43 = 3,828.74 : x
  2. Step 2: Convert to fraction form
    6,811.88/9,400.43 = 3,828.74/x
  3. Step 3: Cross multiply
    6,811.88x = 9,400.43 × 3,828.74
  4. Step 4: Simplify right side
    6,811.88x = 35,991,783.21
  5. Step 5: Solve for x
    x = 35,991,783.21/6,811.88
  6. Step 6: Final answer
    x = 5,283.68

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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.