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Finding the Fourth Proportional to 6,533.80, 9,800.69 and 3,618.25

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Solution

The fourth proportional to 6,533.80, 9,800.69 and 3,618.25 is: 5,427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.80 : 9,800.69 = 3,618.25 : x
  2. Step 2: Convert to fraction form
    6,533.80/9,800.69 = 3,618.25/x
  3. Step 3: Cross multiply
    6,533.80x = 9,800.69 × 3,618.25
  4. Step 4: Simplify right side
    6,533.80x = 35,461,346.59
  5. Step 5: Solve for x
    x = 35,461,346.59/6,533.80
  6. Step 6: Final answer
    x = 5,427.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.