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Finding the Fourth Proportional to 9,896.24, 14,843.84 and 3,322.56

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Solution

The fourth proportional to 9,896.24, 14,843.84 and 3,322.56 is: 4,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.24 : 14,843.84 = 3,322.56 : x
  2. Step 2: Convert to fraction form
    9,896.24/14,843.84 = 3,322.56/x
  3. Step 3: Cross multiply
    9,896.24x = 14,843.84 × 3,322.56
  4. Step 4: Simplify right side
    9,896.24x = 49,319,549.03
  5. Step 5: Solve for x
    x = 49,319,549.03/9,896.24
  6. Step 6: Final answer
    x = 4,983.67

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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.