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Finding the Fourth Proportional to 9,647.82, 14,471.46 and 3,074.40

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Solution

The fourth proportional to 9,647.82, 14,471.46 and 3,074.40 is: 4,611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.82 : 14,471.46 = 3,074.40 : x
  2. Step 2: Convert to fraction form
    9,647.82/14,471.46 = 3,074.40/x
  3. Step 3: Cross multiply
    9,647.82x = 14,471.46 × 3,074.40
  4. Step 4: Simplify right side
    9,647.82x = 44,491,056.62
  5. Step 5: Solve for x
    x = 44,491,056.62/9,647.82
  6. Step 6: Final answer
    x = 4,611.51

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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.