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Finding the Fourth Proportional to 9,052.75, 12,464.31 and 8,222.37

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Solution

The fourth proportional to 9,052.75, 12,464.31 and 8,222.37 is: 11,321.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052.75 : 12,464.31 = 8,222.37 : x
  2. Step 2: Convert to fraction form
    9,052.75/12,464.31 = 8,222.37/x
  3. Step 3: Cross multiply
    9,052.75x = 12,464.31 × 8,222.37
  4. Step 4: Simplify right side
    9,052.75x = 102,486,106.29
  5. Step 5: Solve for x
    x = 102,486,106.29/9,052.75
  6. Step 6: Final answer
    x = 11,321.00

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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.