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Finding the Fourth Proportional to 6,314.55, 8,713.93 and 3,662.20

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Solution

The fourth proportional to 6,314.55, 8,713.93 and 3,662.20 is: 5,053.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.55 : 8,713.93 = 3,662.20 : x
  2. Step 2: Convert to fraction form
    6,314.55/8,713.93 = 3,662.20/x
  3. Step 3: Cross multiply
    6,314.55x = 8,713.93 × 3,662.20
  4. Step 4: Simplify right side
    6,314.55x = 31,912,154.45
  5. Step 5: Solve for x
    x = 31,912,154.45/6,314.55
  6. Step 6: Final answer
    x = 5,053.75

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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.