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Finding the Fourth Proportional to 6,181.69, 9,271.54 and 2,021.66

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Solution

The fourth proportional to 6,181.69, 9,271.54 and 2,021.66 is: 3,032.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.69 : 9,271.54 = 2,021.66 : x
  2. Step 2: Convert to fraction form
    6,181.69/9,271.54 = 2,021.66/x
  3. Step 3: Cross multiply
    6,181.69x = 9,271.54 × 2,021.66
  4. Step 4: Simplify right side
    6,181.69x = 18,743,901.56
  5. Step 5: Solve for x
    x = 18,743,901.56/6,181.69
  6. Step 6: Final answer
    x = 3,032.16

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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.