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Finding the Fourth Proportional to 6,686.22, 9,222.25 and 4,446.97

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Solution

The fourth proportional to 6,686.22, 9,222.25 and 4,446.97 is: 6,133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.22 : 9,222.25 = 4,446.97 : x
  2. Step 2: Convert to fraction form
    6,686.22/9,222.25 = 4,446.97/x
  3. Step 3: Cross multiply
    6,686.22x = 9,222.25 × 4,446.97
  4. Step 4: Simplify right side
    6,686.22x = 41,011,069.08
  5. Step 5: Solve for x
    x = 41,011,069.08/6,686.22
  6. Step 6: Final answer
    x = 6,133.67

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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.