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Finding the Fourth Proportional to 6,786.36, 9,367.03 and 4,133.74

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Solution

The fourth proportional to 6,786.36, 9,367.03 and 4,133.74 is: 5,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.36 : 9,367.03 = 4,133.74 : x
  2. Step 2: Convert to fraction form
    6,786.36/9,367.03 = 4,133.74/x
  3. Step 3: Cross multiply
    6,786.36x = 9,367.03 × 4,133.74
  4. Step 4: Simplify right side
    6,786.36x = 38,720,866.59
  5. Step 5: Solve for x
    x = 38,720,866.59/6,786.36
  6. Step 6: Final answer
    x = 5,705.69

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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.