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Finding the Fourth Proportional to 9,632.72, 14,449.58 and 3,059.42

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Solution

The fourth proportional to 9,632.72, 14,449.58 and 3,059.42 is: 4,589.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.72 : 14,449.58 = 3,059.42 : x
  2. Step 2: Convert to fraction form
    9,632.72/14,449.58 = 3,059.42/x
  3. Step 3: Cross multiply
    9,632.72x = 14,449.58 × 3,059.42
  4. Step 4: Simplify right side
    9,632.72x = 44,207,286.45
  5. Step 5: Solve for x
    x = 44,207,286.45/9,632.72
  6. Step 6: Final answer
    x = 4,589.29

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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.