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Finding the Fourth Proportional to 9,728.00, 13,424.94 and 5,952.79

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Solution

The fourth proportional to 9,728.00, 13,424.94 and 5,952.79 is: 8,215.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.00 : 13,424.94 = 5,952.79 : x
  2. Step 2: Convert to fraction form
    9,728.00/13,424.94 = 5,952.79/x
  3. Step 3: Cross multiply
    9,728.00x = 13,424.94 × 5,952.79
  4. Step 4: Simplify right side
    9,728.00x = 79,915,865.36
  5. Step 5: Solve for x
    x = 79,915,865.36/9,728.00
  6. Step 6: Final answer
    x = 8,215.04

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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.