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Finding the Fourth Proportional to 6,767.99, 9,339.50 and 3,783.81

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Solution

The fourth proportional to 6,767.99, 9,339.50 and 3,783.81 is: 5,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.99 : 9,339.50 = 3,783.81 : x
  2. Step 2: Convert to fraction form
    6,767.99/9,339.50 = 3,783.81/x
  3. Step 3: Cross multiply
    6,767.99x = 9,339.50 × 3,783.81
  4. Step 4: Simplify right side
    6,767.99x = 35,338,937.98
  5. Step 5: Solve for x
    x = 35,338,937.98/6,767.99
  6. Step 6: Final answer
    x = 5,221.48

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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.