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Finding the Fourth Proportional to 6,196.29, 9,296.25 and 3,276.64

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Solution

The fourth proportional to 6,196.29, 9,296.25 and 3,276.64 is: 4,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.29 : 9,296.25 = 3,276.64 : x
  2. Step 2: Convert to fraction form
    6,196.29/9,296.25 = 3,276.64/x
  3. Step 3: Cross multiply
    6,196.29x = 9,296.25 × 3,276.64
  4. Step 4: Simplify right side
    6,196.29x = 30,460,464.60
  5. Step 5: Solve for x
    x = 30,460,464.60/6,196.29
  6. Step 6: Final answer
    x = 4,915.92

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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.