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Finding the Fourth Proportional to 9,500.37, 14,235.98 and 5,797.05

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Solution

The fourth proportional to 9,500.37, 14,235.98 and 5,797.05 is: 8,686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.37 : 14,235.98 = 5,797.05 : x
  2. Step 2: Convert to fraction form
    9,500.37/14,235.98 = 5,797.05/x
  3. Step 3: Cross multiply
    9,500.37x = 14,235.98 × 5,797.05
  4. Step 4: Simplify right side
    9,500.37x = 82,526,658.87
  5. Step 5: Solve for x
    x = 82,526,658.87/9,500.37
  6. Step 6: Final answer
    x = 8,686.68

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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.