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Finding the Fourth Proportional to 6,830.90, 9,426.81 and 3,846.84

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Solution

The fourth proportional to 6,830.90, 9,426.81 and 3,846.84 is: 5,308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.90 : 9,426.81 = 3,846.84 : x
  2. Step 2: Convert to fraction form
    6,830.90/9,426.81 = 3,846.84/x
  3. Step 3: Cross multiply
    6,830.90x = 9,426.81 × 3,846.84
  4. Step 4: Simplify right side
    6,830.90x = 36,263,429.78
  5. Step 5: Solve for x
    x = 36,263,429.78/6,830.90
  6. Step 6: Final answer
    x = 5,308.74

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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.