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Finding the Fourth Proportional to 6,296.72, 8,689.28 and 3,464.09

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Solution

The fourth proportional to 6,296.72, 8,689.28 and 3,464.09 is: 4,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.72 : 8,689.28 = 3,464.09 : x
  2. Step 2: Convert to fraction form
    6,296.72/8,689.28 = 3,464.09/x
  3. Step 3: Cross multiply
    6,296.72x = 8,689.28 × 3,464.09
  4. Step 4: Simplify right side
    6,296.72x = 30,100,419.77
  5. Step 5: Solve for x
    x = 30,100,419.77/6,296.72
  6. Step 6: Final answer
    x = 4,780.34

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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.