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Finding the Fourth Proportional to 7,211, 9,952.26 and 4,418.12

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Solution

The fourth proportional to 7,211, 9,952.26 and 4,418.12 is: 6,097.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211 : 9,952.26 = 4,418.12 : x
  2. Step 2: Convert to fraction form
    7,211/9,952.26 = 4,418.12/x
  3. Step 3: Cross multiply
    7,211x = 9,952.26 × 4,418.12
  4. Step 4: Simplify right side
    7,211x = 43,970,278.95
  5. Step 5: Solve for x
    x = 43,970,278.95/7,211
  6. Step 6: Final answer
    x = 6,097.67

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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.