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Finding the Fourth Proportional to 9,739.94, 13,441.94 and 5,491.82

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Solution

The fourth proportional to 9,739.94, 13,441.94 and 5,491.82 is: 7,579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.94 : 13,441.94 = 5,491.82 : x
  2. Step 2: Convert to fraction form
    9,739.94/13,441.94 = 5,491.82/x
  3. Step 3: Cross multiply
    9,739.94x = 13,441.94 × 5,491.82
  4. Step 4: Simplify right side
    9,739.94x = 73,820,620.26
  5. Step 5: Solve for x
    x = 73,820,620.26/9,739.94
  6. Step 6: Final answer
    x = 7,579.17

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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.