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Finding the Fourth Proportional to 7,129.12, 9,837.94 and 3,942.22

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Solution

The fourth proportional to 7,129.12, 9,837.94 and 3,942.22 is: 5,440.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.12 : 9,837.94 = 3,942.22 : x
  2. Step 2: Convert to fraction form
    7,129.12/9,837.94 = 3,942.22/x
  3. Step 3: Cross multiply
    7,129.12x = 9,837.94 × 3,942.22
  4. Step 4: Simplify right side
    7,129.12x = 38,783,323.83
  5. Step 5: Solve for x
    x = 38,783,323.83/7,129.12
  6. Step 6: Final answer
    x = 5,440.13

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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.