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Finding the Fourth Proportional to 9,471.36, 13,069.44 and 5,491.92

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Solution

The fourth proportional to 9,471.36, 13,069.44 and 5,491.92 is: 7,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.36 : 13,069.44 = 5,491.92 : x
  2. Step 2: Convert to fraction form
    9,471.36/13,069.44 = 5,491.92/x
  3. Step 3: Cross multiply
    9,471.36x = 13,069.44 × 5,491.92
  4. Step 4: Simplify right side
    9,471.36x = 71,776,318.92
  5. Step 5: Solve for x
    x = 71,776,318.92/9,471.36
  6. Step 6: Final answer
    x = 7,578.25

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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.