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Finding the Fourth Proportional to 8,234.37, 12,344.33 and 4,277.30

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Solution

The fourth proportional to 8,234.37, 12,344.33 and 4,277.30 is: 6,412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.37 : 12,344.33 = 4,277.30 : x
  2. Step 2: Convert to fraction form
    8,234.37/12,344.33 = 4,277.30/x
  3. Step 3: Cross multiply
    8,234.37x = 12,344.33 × 4,277.30
  4. Step 4: Simplify right side
    8,234.37x = 52,800,319.60
  5. Step 5: Solve for x
    x = 52,800,319.60/8,234.37
  6. Step 6: Final answer
    x = 6,412.19

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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.