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Finding the Fourth Proportional to 9,719.70, 14,577.11 and 2,794.20

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Solution

The fourth proportional to 9,719.70, 14,577.11 and 2,794.20 is: 4,190.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.70 : 14,577.11 = 2,794.20 : x
  2. Step 2: Convert to fraction form
    9,719.70/14,577.11 = 2,794.20/x
  3. Step 3: Cross multiply
    9,719.70x = 14,577.11 × 2,794.20
  4. Step 4: Simplify right side
    9,719.70x = 40,731,287.88
  5. Step 5: Solve for x
    x = 40,731,287.88/9,719.70
  6. Step 6: Final answer
    x = 4,190.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.