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Finding the Fourth Proportional to 6,412.25, 9,620.08 and 2,714.64

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Solution

The fourth proportional to 6,412.25, 9,620.08 and 2,714.64 is: 4,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.25 : 9,620.08 = 2,714.64 : x
  2. Step 2: Convert to fraction form
    6,412.25/9,620.08 = 2,714.64/x
  3. Step 3: Cross multiply
    6,412.25x = 9,620.08 × 2,714.64
  4. Step 4: Simplify right side
    6,412.25x = 26,115,053.97
  5. Step 5: Solve for x
    x = 26,115,053.97/6,412.25
  6. Step 6: Final answer
    x = 4,072.68

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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.