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Finding the Fourth Proportional to 6,294.21, 8,686.44 and 4,166.03

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Solution

The fourth proportional to 6,294.21, 8,686.44 and 4,166.03 is: 5,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.21 : 8,686.44 = 4,166.03 : x
  2. Step 2: Convert to fraction form
    6,294.21/8,686.44 = 4,166.03/x
  3. Step 3: Cross multiply
    6,294.21x = 8,686.44 × 4,166.03
  4. Step 4: Simplify right side
    6,294.21x = 36,187,991.35
  5. Step 5: Solve for x
    x = 36,187,991.35/6,294.21
  6. Step 6: Final answer
    x = 5,749.41

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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.