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Finding the Fourth Proportional to 9,096.85, 12,553.41 and 5,118.81

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Solution

The fourth proportional to 9,096.85, 12,553.41 and 5,118.81 is: 7,063.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.85 : 12,553.41 = 5,118.81 : x
  2. Step 2: Convert to fraction form
    9,096.85/12,553.41 = 5,118.81/x
  3. Step 3: Cross multiply
    9,096.85x = 12,553.41 × 5,118.81
  4. Step 4: Simplify right side
    9,096.85x = 64,258,520.64
  5. Step 5: Solve for x
    x = 64,258,520.64/9,096.85
  6. Step 6: Final answer
    x = 7,063.82

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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.