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Finding the Fourth Proportional to 9,222.31, 13,847.40 and 7,367.92

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Solution

The fourth proportional to 9,222.31, 13,847.40 and 7,367.92 is: 11,063.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.31 : 13,847.40 = 7,367.92 : x
  2. Step 2: Convert to fraction form
    9,222.31/13,847.40 = 7,367.92/x
  3. Step 3: Cross multiply
    9,222.31x = 13,847.40 × 7,367.92
  4. Step 4: Simplify right side
    9,222.31x = 102,026,535.41
  5. Step 5: Solve for x
    x = 102,026,535.41/9,222.31
  6. Step 6: Final answer
    x = 11,063.01

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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.