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Finding the Fourth Proportional to 9,122.39, 13,679.33 and 4,738.67

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Solution

The fourth proportional to 9,122.39, 13,679.33 and 4,738.67 is: 7,105.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.39 : 13,679.33 = 4,738.67 : x
  2. Step 2: Convert to fraction form
    9,122.39/13,679.33 = 4,738.67/x
  3. Step 3: Cross multiply
    9,122.39x = 13,679.33 × 4,738.67
  4. Step 4: Simplify right side
    9,122.39x = 64,821,830.69
  5. Step 5: Solve for x
    x = 64,821,830.69/9,122.39
  6. Step 6: Final answer
    x = 7,105.79

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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.