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Finding the Fourth Proportional to 7,050.32, 9,729.45 and 3,906.50

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Solution

The fourth proportional to 7,050.32, 9,729.45 and 3,906.50 is: 5,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.32 : 9,729.45 = 3,906.50 : x
  2. Step 2: Convert to fraction form
    7,050.32/9,729.45 = 3,906.50/x
  3. Step 3: Cross multiply
    7,050.32x = 9,729.45 × 3,906.50
  4. Step 4: Simplify right side
    7,050.32x = 38,008,096.43
  5. Step 5: Solve for x
    x = 38,008,096.43/7,050.32
  6. Step 6: Final answer
    x = 5,390.97

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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.