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Finding the Fourth Proportional to 6,830.99, 9,426.80 and 3,846.88

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Solution

The fourth proportional to 6,830.99, 9,426.80 and 3,846.88 is: 5,308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.99 : 9,426.80 = 3,846.88 : x
  2. Step 2: Convert to fraction form
    6,830.99/9,426.80 = 3,846.88/x
  3. Step 3: Cross multiply
    6,830.99x = 9,426.80 × 3,846.88
  4. Step 4: Simplify right side
    6,830.99x = 36,263,715.12
  5. Step 5: Solve for x
    x = 36,263,715.12/6,830.99
  6. Step 6: Final answer
    x = 5,308.71

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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.