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Finding the Fourth Proportional to 9,235.37, 13,857.31 and 5,729.49

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Solution

The fourth proportional to 9,235.37, 13,857.31 and 5,729.49 is: 8,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.37 : 13,857.31 = 5,729.49 : x
  2. Step 2: Convert to fraction form
    9,235.37/13,857.31 = 5,729.49/x
  3. Step 3: Cross multiply
    9,235.37x = 13,857.31 × 5,729.49
  4. Step 4: Simplify right side
    9,235.37x = 79,395,326.23
  5. Step 5: Solve for x
    x = 79,395,326.23/9,235.37
  6. Step 6: Final answer
    x = 8,596.87

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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.