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Finding the Fourth Proportional to 7,202.52, 9,940.32 and 4,963.68

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Solution

The fourth proportional to 7,202.52, 9,940.32 and 4,963.68 is: 6,850.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.52 : 9,940.32 = 4,963.68 : x
  2. Step 2: Convert to fraction form
    7,202.52/9,940.32 = 4,963.68/x
  3. Step 3: Cross multiply
    7,202.52x = 9,940.32 × 4,963.68
  4. Step 4: Simplify right side
    7,202.52x = 49,340,567.58
  5. Step 5: Solve for x
    x = 49,340,567.58/7,202.52
  6. Step 6: Final answer
    x = 6,850.46

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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.