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Finding the Fourth Proportional to 9,750.44, 13,453.62 and 5,769.56

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Solution

The fourth proportional to 9,750.44, 13,453.62 and 5,769.56 is: 7,960.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.44 : 13,453.62 = 5,769.56 : x
  2. Step 2: Convert to fraction form
    9,750.44/13,453.62 = 5,769.56/x
  3. Step 3: Cross multiply
    9,750.44x = 13,453.62 × 5,769.56
  4. Step 4: Simplify right side
    9,750.44x = 77,621,467.81
  5. Step 5: Solve for x
    x = 77,621,467.81/9,750.44
  6. Step 6: Final answer
    x = 7,960.82

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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.