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Finding the Fourth Proportional to 6,415.77, 8,855.94 and 3,762.21

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Solution

The fourth proportional to 6,415.77, 8,855.94 and 3,762.21 is: 5,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.77 : 8,855.94 = 3,762.21 : x
  2. Step 2: Convert to fraction form
    6,415.77/8,855.94 = 3,762.21/x
  3. Step 3: Cross multiply
    6,415.77x = 8,855.94 × 3,762.21
  4. Step 4: Simplify right side
    6,415.77x = 33,317,906.03
  5. Step 5: Solve for x
    x = 33,317,906.03/6,415.77
  6. Step 6: Final answer
    x = 5,193.13

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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.