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Finding the Fourth Proportional to 6,786, 9,364.68 and 3,842

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Solution

The fourth proportional to 6,786, 9,364.68 and 3,842 is: 5,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786 : 9,364.68 = 3,842 : x
  2. Step 2: Convert to fraction form
    6,786/9,364.68 = 3,842/x
  3. Step 3: Cross multiply
    6,786x = 9,364.68 × 3,842
  4. Step 4: Simplify right side
    6,786x = 35,979,100.56
  5. Step 5: Solve for x
    x = 35,979,100.56/6,786
  6. Step 6: Final answer
    x = 5,301.96

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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.