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Finding the Fourth Proportional to 6,855.30, 9,468.63 and 4,963.82

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Solution

The fourth proportional to 6,855.30, 9,468.63 and 4,963.82 is: 6,856.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.30 : 9,468.63 = 4,963.82 : x
  2. Step 2: Convert to fraction form
    6,855.30/9,468.63 = 4,963.82/x
  3. Step 3: Cross multiply
    6,855.30x = 9,468.63 × 4,963.82
  4. Step 4: Simplify right side
    6,855.30x = 47,000,527.62
  5. Step 5: Solve for x
    x = 47,000,527.62/6,855.30
  6. Step 6: Final answer
    x = 6,856.09

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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.