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Finding the Fourth Proportional to 9,706.37, 14,561.73 and 3,467.03

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Solution

The fourth proportional to 9,706.37, 14,561.73 and 3,467.03 is: 5,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.37 : 14,561.73 = 3,467.03 : x
  2. Step 2: Convert to fraction form
    9,706.37/14,561.73 = 3,467.03/x
  3. Step 3: Cross multiply
    9,706.37x = 14,561.73 × 3,467.03
  4. Step 4: Simplify right side
    9,706.37x = 50,485,954.76
  5. Step 5: Solve for x
    x = 50,485,954.76/9,706.37
  6. Step 6: Final answer
    x = 5,201.32

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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.