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Finding the Fourth Proportional to 9,694.12, 14,539.74 and 3,119.44

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Solution

The fourth proportional to 9,694.12, 14,539.74 and 3,119.44 is: 4,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.12 : 14,539.74 = 3,119.44 : x
  2. Step 2: Convert to fraction form
    9,694.12/14,539.74 = 3,119.44/x
  3. Step 3: Cross multiply
    9,694.12x = 14,539.74 × 3,119.44
  4. Step 4: Simplify right side
    9,694.12x = 45,355,846.55
  5. Step 5: Solve for x
    x = 45,355,846.55/9,694.12
  6. Step 6: Final answer
    x = 4,678.70

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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.