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Finding the Fourth Proportional to 9,371.84, 12,944.04 and 6,222.56

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Solution

The fourth proportional to 9,371.84, 12,944.04 and 6,222.56 is: 8,594.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,371.84 : 12,944.04 = 6,222.56 : x
  2. Step 2: Convert to fraction form
    9,371.84/12,944.04 = 6,222.56/x
  3. Step 3: Cross multiply
    9,371.84x = 12,944.04 × 6,222.56
  4. Step 4: Simplify right side
    9,371.84x = 80,545,065.54
  5. Step 5: Solve for x
    x = 80,545,065.54/9,371.84
  6. Step 6: Final answer
    x = 8,594.37

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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.