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Finding the Fourth Proportional to 9,181.36, 13,769.58 and 3,986

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Solution

The fourth proportional to 9,181.36, 13,769.58 and 3,986 is: 5,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.36 : 13,769.58 = 3,986 : x
  2. Step 2: Convert to fraction form
    9,181.36/13,769.58 = 3,986/x
  3. Step 3: Cross multiply
    9,181.36x = 13,769.58 × 3,986
  4. Step 4: Simplify right side
    9,181.36x = 54,885,545.88
  5. Step 5: Solve for x
    x = 54,885,545.88/9,181.36
  6. Step 6: Final answer
    x = 5,977.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.