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Finding the Fourth Proportional to 6,830.87, 9,426.89 and 3,846.88

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Solution

The fourth proportional to 6,830.87, 9,426.89 and 3,846.88 is: 5,308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.87 : 9,426.89 = 3,846.88 : x
  2. Step 2: Convert to fraction form
    6,830.87/9,426.89 = 3,846.88/x
  3. Step 3: Cross multiply
    6,830.87x = 9,426.89 × 3,846.88
  4. Step 4: Simplify right side
    6,830.87x = 36,264,114.60
  5. Step 5: Solve for x
    x = 36,264,114.60/6,830.87
  6. Step 6: Final answer
    x = 5,308.86

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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.