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Finding the Fourth Proportional to 8,234.99, 12,355.73 and 3,614.75

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Solution

The fourth proportional to 8,234.99, 12,355.73 and 3,614.75 is: 5,423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.99 : 12,355.73 = 3,614.75 : x
  2. Step 2: Convert to fraction form
    8,234.99/12,355.73 = 3,614.75/x
  3. Step 3: Cross multiply
    8,234.99x = 12,355.73 × 3,614.75
  4. Step 4: Simplify right side
    8,234.99x = 44,662,875.02
  5. Step 5: Solve for x
    x = 44,662,875.02/8,234.99
  6. Step 6: Final answer
    x = 5,423.55

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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.