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Finding the Fourth Proportional to 6,711.50, 9,261.88 and 3,727.82

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Solution

The fourth proportional to 6,711.50, 9,261.88 and 3,727.82 is: 5,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.50 : 9,261.88 = 3,727.82 : x
  2. Step 2: Convert to fraction form
    6,711.50/9,261.88 = 3,727.82/x
  3. Step 3: Cross multiply
    6,711.50x = 9,261.88 × 3,727.82
  4. Step 4: Simplify right side
    6,711.50x = 34,526,621.50
  5. Step 5: Solve for x
    x = 34,526,621.50/6,711.50
  6. Step 6: Final answer
    x = 5,144.40

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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.