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Finding the Fourth Proportional to 6,200.25, 9,288.83 and 3,076.70

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Solution

The fourth proportional to 6,200.25, 9,288.83 and 3,076.70 is: 4,609.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.25 : 9,288.83 = 3,076.70 : x
  2. Step 2: Convert to fraction form
    6,200.25/9,288.83 = 3,076.70/x
  3. Step 3: Cross multiply
    6,200.25x = 9,288.83 × 3,076.70
  4. Step 4: Simplify right side
    6,200.25x = 28,578,881.43
  5. Step 5: Solve for x
    x = 28,578,881.43/6,200.25
  6. Step 6: Final answer
    x = 4,609.31

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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.