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Finding the Fourth Proportional to 6,314.46, 8,722.77 and 5,982.31

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Solution

The fourth proportional to 6,314.46, 8,722.77 and 5,982.31 is: 8,263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.46 : 8,722.77 = 5,982.31 : x
  2. Step 2: Convert to fraction form
    6,314.46/8,722.77 = 5,982.31/x
  3. Step 3: Cross multiply
    6,314.46x = 8,722.77 × 5,982.31
  4. Step 4: Simplify right side
    6,314.46x = 52,182,314.20
  5. Step 5: Solve for x
    x = 52,182,314.20/6,314.46
  6. Step 6: Final answer
    x = 8,263.94

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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.