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Finding the Fourth Proportional to 7,050.07, 9,729.41 and 3,906.06

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Solution

The fourth proportional to 7,050.07, 9,729.41 and 3,906.06 is: 5,390.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.07 : 9,729.41 = 3,906.06 : x
  2. Step 2: Convert to fraction form
    7,050.07/9,729.41 = 3,906.06/x
  3. Step 3: Cross multiply
    7,050.07x = 9,729.41 × 3,906.06
  4. Step 4: Simplify right side
    7,050.07x = 38,003,659.22
  5. Step 5: Solve for x
    x = 38,003,659.22/7,050.07
  6. Step 6: Final answer
    x = 5,390.54

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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.