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Finding the Fourth Proportional to 9,499.37, 14,234.48 and 5,796.05

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Solution

The fourth proportional to 9,499.37, 14,234.48 and 5,796.05 is: 8,685.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.37 : 14,234.48 = 5,796.05 : x
  2. Step 2: Convert to fraction form
    9,499.37/14,234.48 = 5,796.05/x
  3. Step 3: Cross multiply
    9,499.37x = 14,234.48 × 5,796.05
  4. Step 4: Simplify right side
    9,499.37x = 82,503,728.82
  5. Step 5: Solve for x
    x = 82,503,728.82/9,499.37
  6. Step 6: Final answer
    x = 8,685.18

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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.