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Finding the Fourth Proportional to 9,121.76, 13,680.29 and 6,158.68

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Solution

The fourth proportional to 9,121.76, 13,680.29 and 6,158.68 is: 9,236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.76 : 13,680.29 = 6,158.68 : x
  2. Step 2: Convert to fraction form
    9,121.76/13,680.29 = 6,158.68/x
  3. Step 3: Cross multiply
    9,121.76x = 13,680.29 × 6,158.68
  4. Step 4: Simplify right side
    9,121.76x = 84,252,586.56
  5. Step 5: Solve for x
    x = 84,252,586.56/9,121.76
  6. Step 6: Final answer
    x = 9,236.44

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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.