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Finding the Fourth Proportional to 6,186.21, 9,278.57 and 1,744.21

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Solution

The fourth proportional to 6,186.21, 9,278.57 and 1,744.21 is: 2,616.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.21 : 9,278.57 = 1,744.21 : x
  2. Step 2: Convert to fraction form
    6,186.21/9,278.57 = 1,744.21/x
  3. Step 3: Cross multiply
    6,186.21x = 9,278.57 × 1,744.21
  4. Step 4: Simplify right side
    6,186.21x = 16,183,719.47
  5. Step 5: Solve for x
    x = 16,183,719.47/6,186.21
  6. Step 6: Final answer
    x = 2,616.10

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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.