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Finding the Fourth Proportional to 6,783.27, 9,361.40 and 3,758.69

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Solution

The fourth proportional to 6,783.27, 9,361.40 and 3,758.69 is: 5,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.27 : 9,361.40 = 3,758.69 : x
  2. Step 2: Convert to fraction form
    6,783.27/9,361.40 = 3,758.69/x
  3. Step 3: Cross multiply
    6,783.27x = 9,361.40 × 3,758.69
  4. Step 4: Simplify right side
    6,783.27x = 35,186,534.97
  5. Step 5: Solve for x
    x = 35,186,534.97/6,783.27
  6. Step 6: Final answer
    x = 5,187.25

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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.