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Finding the Fourth Proportional to 6,381.94, 9,572.36 and 2,221.24

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Solution

The fourth proportional to 6,381.94, 9,572.36 and 2,221.24 is: 3,331.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.94 : 9,572.36 = 2,221.24 : x
  2. Step 2: Convert to fraction form
    6,381.94/9,572.36 = 2,221.24/x
  3. Step 3: Cross multiply
    6,381.94x = 9,572.36 × 2,221.24
  4. Step 4: Simplify right side
    6,381.94x = 21,262,508.93
  5. Step 5: Solve for x
    x = 21,262,508.93/6,381.94
  6. Step 6: Final answer
    x = 3,331.67

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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.