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Finding the Fourth Proportional to 6,811.76, 9,400.08 and 3,786.68

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Solution

The fourth proportional to 6,811.76, 9,400.08 and 3,786.68 is: 5,225.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.76 : 9,400.08 = 3,786.68 : x
  2. Step 2: Convert to fraction form
    6,811.76/9,400.08 = 3,786.68/x
  3. Step 3: Cross multiply
    6,811.76x = 9,400.08 × 3,786.68
  4. Step 4: Simplify right side
    6,811.76x = 35,595,094.93
  5. Step 5: Solve for x
    x = 35,595,094.93/6,811.76
  6. Step 6: Final answer
    x = 5,225.54

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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.