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Finding the Fourth Proportional to 9,737.58, 14,604.27 and 3,074.60

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Solution

The fourth proportional to 9,737.58, 14,604.27 and 3,074.60 is: 4,611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.58 : 14,604.27 = 3,074.60 : x
  2. Step 2: Convert to fraction form
    9,737.58/14,604.27 = 3,074.60/x
  3. Step 3: Cross multiply
    9,737.58x = 14,604.27 × 3,074.60
  4. Step 4: Simplify right side
    9,737.58x = 44,902,227.05
  5. Step 5: Solve for x
    x = 44,902,227.05/9,737.58
  6. Step 6: Final answer
    x = 4,611.23

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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.