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Finding the Fourth Proportional to 9,806.92, 13,533.63 and 5,330.67

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Solution

The fourth proportional to 9,806.92, 13,533.63 and 5,330.67 is: 7,356.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.92 : 13,533.63 = 5,330.67 : x
  2. Step 2: Convert to fraction form
    9,806.92/13,533.63 = 5,330.67/x
  3. Step 3: Cross multiply
    9,806.92x = 13,533.63 × 5,330.67
  4. Step 4: Simplify right side
    9,806.92x = 72,143,315.43
  5. Step 5: Solve for x
    x = 72,143,315.43/9,806.92
  6. Step 6: Final answer
    x = 7,356.37

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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.