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Finding the Fourth Proportional to 7,129.25, 9,838.11 and 3,942.35

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Solution

The fourth proportional to 7,129.25, 9,838.11 and 3,942.35 is: 5,440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.25 : 9,838.11 = 3,942.35 : x
  2. Step 2: Convert to fraction form
    7,129.25/9,838.11 = 3,942.35/x
  3. Step 3: Cross multiply
    7,129.25x = 9,838.11 × 3,942.35
  4. Step 4: Simplify right side
    7,129.25x = 38,785,272.96
  5. Step 5: Solve for x
    x = 38,785,272.96/7,129.25
  6. Step 6: Final answer
    x = 5,440.30

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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.