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Finding the Fourth Proportional to 6,977.62, 9,629.06 and 3,833.82

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Solution

The fourth proportional to 6,977.62, 9,629.06 and 3,833.82 is: 5,290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.62 : 9,629.06 = 3,833.82 : x
  2. Step 2: Convert to fraction form
    6,977.62/9,629.06 = 3,833.82/x
  3. Step 3: Cross multiply
    6,977.62x = 9,629.06 × 3,833.82
  4. Step 4: Simplify right side
    6,977.62x = 36,916,082.81
  5. Step 5: Solve for x
    x = 36,916,082.81/6,977.62
  6. Step 6: Final answer
    x = 5,290.64

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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.