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Finding the Fourth Proportional to 7,021.05, 9,692.94 and 4,786.21

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Solution

The fourth proportional to 7,021.05, 9,692.94 and 4,786.21 is: 6,607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.05 : 9,692.94 = 4,786.21 : x
  2. Step 2: Convert to fraction form
    7,021.05/9,692.94 = 4,786.21/x
  3. Step 3: Cross multiply
    7,021.05x = 9,692.94 × 4,786.21
  4. Step 4: Simplify right side
    7,021.05x = 46,392,373.96
  5. Step 5: Solve for x
    x = 46,392,373.96/7,021.05
  6. Step 6: Final answer
    x = 6,607.62

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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.