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Finding the Fourth Proportional to 6,286.36, 9,415.19 and 3,001.76

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Solution

The fourth proportional to 6,286.36, 9,415.19 and 3,001.76 is: 4,495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.36 : 9,415.19 = 3,001.76 : x
  2. Step 2: Convert to fraction form
    6,286.36/9,415.19 = 3,001.76/x
  3. Step 3: Cross multiply
    6,286.36x = 9,415.19 × 3,001.76
  4. Step 4: Simplify right side
    6,286.36x = 28,262,119.58
  5. Step 5: Solve for x
    x = 28,262,119.58/6,286.36
  6. Step 6: Final answer
    x = 4,495.78

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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.