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Finding the Fourth Proportional to 6,357.36, 9,533.69 and 2,196.30

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Solution

The fourth proportional to 6,357.36, 9,533.69 and 2,196.30 is: 3,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.36 : 9,533.69 = 2,196.30 : x
  2. Step 2: Convert to fraction form
    6,357.36/9,533.69 = 2,196.30/x
  3. Step 3: Cross multiply
    6,357.36x = 9,533.69 × 2,196.30
  4. Step 4: Simplify right side
    6,357.36x = 20,938,843.35
  5. Step 5: Solve for x
    x = 20,938,843.35/6,357.36
  6. Step 6: Final answer
    x = 3,293.64

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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.