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Finding the Fourth Proportional to 6,175.86, 9,264.68 and 2,014.84

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Solution

The fourth proportional to 6,175.86, 9,264.68 and 2,014.84 is: 3,022.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.86 : 9,264.68 = 2,014.84 : x
  2. Step 2: Convert to fraction form
    6,175.86/9,264.68 = 2,014.84/x
  3. Step 3: Cross multiply
    6,175.86x = 9,264.68 × 2,014.84
  4. Step 4: Simplify right side
    6,175.86x = 18,666,791.45
  5. Step 5: Solve for x
    x = 18,666,791.45/6,175.86
  6. Step 6: Final answer
    x = 3,022.54

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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.