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Finding the Fourth Proportional to 6,718.48, 9,270.25 and 3,846.83

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Solution

The fourth proportional to 6,718.48, 9,270.25 and 3,846.83 is: 5,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.48 : 9,270.25 = 3,846.83 : x
  2. Step 2: Convert to fraction form
    6,718.48/9,270.25 = 3,846.83/x
  3. Step 3: Cross multiply
    6,718.48x = 9,270.25 × 3,846.83
  4. Step 4: Simplify right side
    6,718.48x = 35,661,019.84
  5. Step 5: Solve for x
    x = 35,661,019.84/6,718.48
  6. Step 6: Final answer
    x = 5,307.90

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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.