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Finding the Fourth Proportional to 9,235.41, 13,873.62 and 5,728.01

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Solution

The fourth proportional to 9,235.41, 13,873.62 and 5,728.01 is: 8,604.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.41 : 13,873.62 = 5,728.01 : x
  2. Step 2: Convert to fraction form
    9,235.41/13,873.62 = 5,728.01/x
  3. Step 3: Cross multiply
    9,235.41x = 13,873.62 × 5,728.01
  4. Step 4: Simplify right side
    9,235.41x = 79,468,234.10
  5. Step 5: Solve for x
    x = 79,468,234.10/9,235.41
  6. Step 6: Final answer
    x = 8,604.73

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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.