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Finding the Fourth Proportional to 9,883.92, 13,639.46 and 5,902.67

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Solution

The fourth proportional to 9,883.92, 13,639.46 and 5,902.67 is: 8,145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.92 : 13,639.46 = 5,902.67 : x
  2. Step 2: Convert to fraction form
    9,883.92/13,639.46 = 5,902.67/x
  3. Step 3: Cross multiply
    9,883.92x = 13,639.46 × 5,902.67
  4. Step 4: Simplify right side
    9,883.92x = 80,509,235.94
  5. Step 5: Solve for x
    x = 80,509,235.94/9,883.92
  6. Step 6: Final answer
    x = 8,145.47

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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.