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Finding the Fourth Proportional to 9,367.29, 12,940.16 and 7,491.33

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Solution

The fourth proportional to 9,367.29, 12,940.16 and 7,491.33 is: 10,348.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.29 : 12,940.16 = 7,491.33 : x
  2. Step 2: Convert to fraction form
    9,367.29/12,940.16 = 7,491.33/x
  3. Step 3: Cross multiply
    9,367.29x = 12,940.16 × 7,491.33
  4. Step 4: Simplify right side
    9,367.29x = 96,938,971.36
  5. Step 5: Solve for x
    x = 96,938,971.36/9,367.29
  6. Step 6: Final answer
    x = 10,348.67

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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.