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Finding the Fourth Proportional to 6,202.26, 9,303.98 and 2,042.31

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Solution

The fourth proportional to 6,202.26, 9,303.98 and 2,042.31 is: 3,063.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.26 : 9,303.98 = 2,042.31 : x
  2. Step 2: Convert to fraction form
    6,202.26/9,303.98 = 2,042.31/x
  3. Step 3: Cross multiply
    6,202.26x = 9,303.98 × 2,042.31
  4. Step 4: Simplify right side
    6,202.26x = 19,001,601.18
  5. Step 5: Solve for x
    x = 19,001,601.18/6,202.26
  6. Step 6: Final answer
    x = 3,063.66

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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.