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Finding the Fourth Proportional to 6,977.12, 9,627.98 and 3,833.30

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Solution

The fourth proportional to 6,977.12, 9,627.98 and 3,833.30 is: 5,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.12 : 9,627.98 = 3,833.30 : x
  2. Step 2: Convert to fraction form
    6,977.12/9,627.98 = 3,833.30/x
  3. Step 3: Cross multiply
    6,977.12x = 9,627.98 × 3,833.30
  4. Step 4: Simplify right side
    6,977.12x = 36,906,935.73
  5. Step 5: Solve for x
    x = 36,906,935.73/6,977.12
  6. Step 6: Final answer
    x = 5,289.71

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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.