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Finding the Fourth Proportional to 6,212.21, 9,313.75 and 2,923.50

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Solution

The fourth proportional to 6,212.21, 9,313.75 and 2,923.50 is: 4,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.21 : 9,313.75 = 2,923.50 : x
  2. Step 2: Convert to fraction form
    6,212.21/9,313.75 = 2,923.50/x
  3. Step 3: Cross multiply
    6,212.21x = 9,313.75 × 2,923.50
  4. Step 4: Simplify right side
    6,212.21x = 27,228,740.82
  5. Step 5: Solve for x
    x = 27,228,740.82/6,212.21
  6. Step 6: Final answer
    x = 4,383.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.