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Finding the Fourth Proportional to 6,314.22, 8,713.56 and 3,625.88

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Solution

The fourth proportional to 6,314.22, 8,713.56 and 3,625.88 is: 5,003.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.22 : 8,713.56 = 3,625.88 : x
  2. Step 2: Convert to fraction form
    6,314.22/8,713.56 = 3,625.88/x
  3. Step 3: Cross multiply
    6,314.22x = 8,713.56 × 3,625.88
  4. Step 4: Simplify right side
    6,314.22x = 31,594,292.96
  5. Step 5: Solve for x
    x = 31,594,292.96/6,314.22
  6. Step 6: Final answer
    x = 5,003.67

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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.