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Finding the Fourth Proportional to 6,164.13, 9,245.28 and 2,267.63

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Solution

The fourth proportional to 6,164.13, 9,245.28 and 2,267.63 is: 3,401.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.13 : 9,245.28 = 2,267.63 : x
  2. Step 2: Convert to fraction form
    6,164.13/9,245.28 = 2,267.63/x
  3. Step 3: Cross multiply
    6,164.13x = 9,245.28 × 2,267.63
  4. Step 4: Simplify right side
    6,164.13x = 20,964,836.56
  5. Step 5: Solve for x
    x = 20,964,836.56/6,164.13
  6. Step 6: Final answer
    x = 3,401.10

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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.