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Finding the Fourth Proportional to 7,183.12, 9,914.32 and 4,200.40

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Solution

The fourth proportional to 7,183.12, 9,914.32 and 4,200.40 is: 5,797.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.12 : 9,914.32 = 4,200.40 : x
  2. Step 2: Convert to fraction form
    7,183.12/9,914.32 = 4,200.40/x
  3. Step 3: Cross multiply
    7,183.12x = 9,914.32 × 4,200.40
  4. Step 4: Simplify right side
    7,183.12x = 41,644,109.73
  5. Step 5: Solve for x
    x = 41,644,109.73/7,183.12
  6. Step 6: Final answer
    x = 5,797.50

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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.