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Finding the Fourth Proportional to 9,632.85, 14,451.23 and 5,474.85

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Solution

The fourth proportional to 9,632.85, 14,451.23 and 5,474.85 is: 8,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.85 : 14,451.23 = 5,474.85 : x
  2. Step 2: Convert to fraction form
    9,632.85/14,451.23 = 5,474.85/x
  3. Step 3: Cross multiply
    9,632.85x = 14,451.23 × 5,474.85
  4. Step 4: Simplify right side
    9,632.85x = 79,118,316.57
  5. Step 5: Solve for x
    x = 79,118,316.57/9,632.85
  6. Step 6: Final answer
    x = 8,213.39

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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.