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Finding the Fourth Proportional to 6,277.26, 9,415.89 and 2,809.74

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Solution

The fourth proportional to 6,277.26, 9,415.89 and 2,809.74 is: 4,214.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.26 : 9,415.89 = 2,809.74 : x
  2. Step 2: Convert to fraction form
    6,277.26/9,415.89 = 2,809.74/x
  3. Step 3: Cross multiply
    6,277.26x = 9,415.89 × 2,809.74
  4. Step 4: Simplify right side
    6,277.26x = 26,456,202.77
  5. Step 5: Solve for x
    x = 26,456,202.77/6,277.26
  6. Step 6: Final answer
    x = 4,214.61

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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.