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Finding the Fourth Proportional to 9,500.46, 13,108.41 and 5,722.62

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Solution

The fourth proportional to 9,500.46, 13,108.41 and 5,722.62 is: 7,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.46 : 13,108.41 = 5,722.62 : x
  2. Step 2: Convert to fraction form
    9,500.46/13,108.41 = 5,722.62/x
  3. Step 3: Cross multiply
    9,500.46x = 13,108.41 × 5,722.62
  4. Step 4: Simplify right side
    9,500.46x = 75,014,449.23
  5. Step 5: Solve for x
    x = 75,014,449.23/9,500.46
  6. Step 6: Final answer
    x = 7,895.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.