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Finding the Fourth Proportional to 9,199.37, 13,786.63 and 6,596.57

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Solution

The fourth proportional to 9,199.37, 13,786.63 and 6,596.57 is: 9,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.37 : 13,786.63 = 6,596.57 : x
  2. Step 2: Convert to fraction form
    9,199.37/13,786.63 = 6,596.57/x
  3. Step 3: Cross multiply
    9,199.37x = 13,786.63 × 6,596.57
  4. Step 4: Simplify right side
    9,199.37x = 90,944,469.86
  5. Step 5: Solve for x
    x = 90,944,469.86/9,199.37
  6. Step 6: Final answer
    x = 9,885.95

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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.