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Finding the Fourth Proportional to 6,315.25, 8,713.62 and 3,662.16

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Solution

The fourth proportional to 6,315.25, 8,713.62 and 3,662.16 is: 5,052.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.25 : 8,713.62 = 3,662.16 : x
  2. Step 2: Convert to fraction form
    6,315.25/8,713.62 = 3,662.16/x
  3. Step 3: Cross multiply
    6,315.25x = 8,713.62 × 3,662.16
  4. Step 4: Simplify right side
    6,315.25x = 31,910,670.62
  5. Step 5: Solve for x
    x = 31,910,670.62/6,315.25
  6. Step 6: Final answer
    x = 5,052.95

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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.