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Finding the Fourth Proportional to 7,129.56, 9,838.34 and 3,942.77

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Solution

The fourth proportional to 7,129.56, 9,838.34 and 3,942.77 is: 5,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.56 : 9,838.34 = 3,942.77 : x
  2. Step 2: Convert to fraction form
    7,129.56/9,838.34 = 3,942.77/x
  3. Step 3: Cross multiply
    7,129.56x = 9,838.34 × 3,942.77
  4. Step 4: Simplify right side
    7,129.56x = 38,790,311.80
  5. Step 5: Solve for x
    x = 38,790,311.80/7,129.56
  6. Step 6: Final answer
    x = 5,440.77

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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.