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Finding the Fourth Proportional to 6,730.62, 9,287.64 and 4,963.20

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Solution

The fourth proportional to 6,730.62, 9,287.64 and 4,963.20 is: 6,848.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.62 : 9,287.64 = 4,963.20 : x
  2. Step 2: Convert to fraction form
    6,730.62/9,287.64 = 4,963.20/x
  3. Step 3: Cross multiply
    6,730.62x = 9,287.64 × 4,963.20
  4. Step 4: Simplify right side
    6,730.62x = 46,096,414.85
  5. Step 5: Solve for x
    x = 46,096,414.85/6,730.62
  6. Step 6: Final answer
    x = 6,848.76

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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.