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Finding the Fourth Proportional to 7,050.22, 9,729.32 and 3,906.41

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Solution

The fourth proportional to 7,050.22, 9,729.32 and 3,906.41 is: 5,390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.22 : 9,729.32 = 3,906.41 : x
  2. Step 2: Convert to fraction form
    7,050.22/9,729.32 = 3,906.41/x
  3. Step 3: Cross multiply
    7,050.22x = 9,729.32 × 3,906.41
  4. Step 4: Simplify right side
    7,050.22x = 38,006,644.76
  5. Step 5: Solve for x
    x = 38,006,644.76/7,050.22
  6. Step 6: Final answer
    x = 5,390.85

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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.