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Finding the Fourth Proportional to 6,977.12, 9,629.01 and 3,833.91

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Solution

The fourth proportional to 6,977.12, 9,629.01 and 3,833.91 is: 5,291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.12 : 9,629.01 = 3,833.91 : x
  2. Step 2: Convert to fraction form
    6,977.12/9,629.01 = 3,833.91/x
  3. Step 3: Cross multiply
    6,977.12x = 9,629.01 × 3,833.91
  4. Step 4: Simplify right side
    6,977.12x = 36,916,757.73
  5. Step 5: Solve for x
    x = 36,916,757.73/6,977.12
  6. Step 6: Final answer
    x = 5,291.12

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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.