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Finding the Fourth Proportional to 6,830.35, 9,426.79 and 3,846.78

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Solution

The fourth proportional to 6,830.35, 9,426.79 and 3,846.78 is: 5,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.35 : 9,426.79 = 3,846.78 : x
  2. Step 2: Convert to fraction form
    6,830.35/9,426.79 = 3,846.78/x
  3. Step 3: Cross multiply
    6,830.35x = 9,426.79 × 3,846.78
  4. Step 4: Simplify right side
    6,830.35x = 36,262,787.24
  5. Step 5: Solve for x
    x = 36,262,787.24/6,830.35
  6. Step 6: Final answer
    x = 5,309.07

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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.