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Finding the Fourth Proportional to 9,794.90, 14,691.74 and 2,774.62

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Solution

The fourth proportional to 9,794.90, 14,691.74 and 2,774.62 is: 4,161.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.90 : 14,691.74 = 2,774.62 : x
  2. Step 2: Convert to fraction form
    9,794.90/14,691.74 = 2,774.62/x
  3. Step 3: Cross multiply
    9,794.90x = 14,691.74 × 2,774.62
  4. Step 4: Simplify right side
    9,794.90x = 40,763,995.64
  5. Step 5: Solve for x
    x = 40,763,995.64/9,794.90
  6. Step 6: Final answer
    x = 4,161.76

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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.