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Finding the Fourth Proportional to 6,193.14, 8,546.10 and 3,540.18

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Solution

The fourth proportional to 6,193.14, 8,546.10 and 3,540.18 is: 4,885.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.14 : 8,546.10 = 3,540.18 : x
  2. Step 2: Convert to fraction form
    6,193.14/8,546.10 = 3,540.18/x
  3. Step 3: Cross multiply
    6,193.14x = 8,546.10 × 3,540.18
  4. Step 4: Simplify right side
    6,193.14x = 30,254,732.30
  5. Step 5: Solve for x
    x = 30,254,732.30/6,193.14
  6. Step 6: Final answer
    x = 4,885.20

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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.