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Finding the Fourth Proportional to 6,202.46, 9,295.77 and 2,908.30

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Solution

The fourth proportional to 6,202.46, 9,295.77 and 2,908.30 is: 4,358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.46 : 9,295.77 = 2,908.30 : x
  2. Step 2: Convert to fraction form
    6,202.46/9,295.77 = 2,908.30/x
  3. Step 3: Cross multiply
    6,202.46x = 9,295.77 × 2,908.30
  4. Step 4: Simplify right side
    6,202.46x = 27,034,887.89
  5. Step 5: Solve for x
    x = 27,034,887.89/6,202.46
  6. Step 6: Final answer
    x = 4,358.74

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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.