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Finding the Fourth Proportional to 9,944.40, 13,724 and 6,581.36

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Solution

The fourth proportional to 9,944.40, 13,724 and 6,581.36 is: 9,082.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.40 : 13,724 = 6,581.36 : x
  2. Step 2: Convert to fraction form
    9,944.40/13,724 = 6,581.36/x
  3. Step 3: Cross multiply
    9,944.40x = 13,724 × 6,581.36
  4. Step 4: Simplify right side
    9,944.40x = 90,322,584.64
  5. Step 5: Solve for x
    x = 90,322,584.64/9,944.40
  6. Step 6: Final answer
    x = 9,082.76

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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.