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Finding the Fourth Proportional to 9,201.44, 12,697.35 and 5,222.63

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Solution

The fourth proportional to 9,201.44, 12,697.35 and 5,222.63 is: 7,206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.44 : 12,697.35 = 5,222.63 : x
  2. Step 2: Convert to fraction form
    9,201.44/12,697.35 = 5,222.63/x
  3. Step 3: Cross multiply
    9,201.44x = 12,697.35 × 5,222.63
  4. Step 4: Simplify right side
    9,201.44x = 66,313,561.03
  5. Step 5: Solve for x
    x = 66,313,561.03/9,201.44
  6. Step 6: Final answer
    x = 7,206.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.