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Finding the Fourth Proportional to 6,346.39, 9,519.56 and 2,186.39

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Solution

The fourth proportional to 6,346.39, 9,519.56 and 2,186.39 is: 3,279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.39 : 9,519.56 = 2,186.39 : x
  2. Step 2: Convert to fraction form
    6,346.39/9,519.56 = 2,186.39/x
  3. Step 3: Cross multiply
    6,346.39x = 9,519.56 × 2,186.39
  4. Step 4: Simplify right side
    6,346.39x = 20,813,501.08
  5. Step 5: Solve for x
    x = 20,813,501.08/6,346.39
  6. Step 6: Final answer
    x = 3,279.58

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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.