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Finding the Fourth Proportional to 9,729.98, 14,571.56 and 5,557.32

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Solution

The fourth proportional to 9,729.98, 14,571.56 and 5,557.32 is: 8,322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.98 : 14,571.56 = 5,557.32 : x
  2. Step 2: Convert to fraction form
    9,729.98/14,571.56 = 5,557.32/x
  3. Step 3: Cross multiply
    9,729.98x = 14,571.56 × 5,557.32
  4. Step 4: Simplify right side
    9,729.98x = 80,978,794.03
  5. Step 5: Solve for x
    x = 80,978,794.03/9,729.98
  6. Step 6: Final answer
    x = 8,322.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.