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Finding the Fourth Proportional to 7,221.70, 9,965.85 and 4,035.05

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Solution

The fourth proportional to 7,221.70, 9,965.85 and 4,035.05 is: 5,568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.70 : 9,965.85 = 4,035.05 : x
  2. Step 2: Convert to fraction form
    7,221.70/9,965.85 = 4,035.05/x
  3. Step 3: Cross multiply
    7,221.70x = 9,965.85 × 4,035.05
  4. Step 4: Simplify right side
    7,221.70x = 40,212,653.21
  5. Step 5: Solve for x
    x = 40,212,653.21/7,221.70
  6. Step 6: Final answer
    x = 5,568.31

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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.