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Finding the Fourth Proportional to 6,284.76, 9,427.24 and 1,902.26

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Solution

The fourth proportional to 6,284.76, 9,427.24 and 1,902.26 is: 2,853.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.76 : 9,427.24 = 1,902.26 : x
  2. Step 2: Convert to fraction form
    6,284.76/9,427.24 = 1,902.26/x
  3. Step 3: Cross multiply
    6,284.76x = 9,427.24 × 1,902.26
  4. Step 4: Simplify right side
    6,284.76x = 17,933,061.56
  5. Step 5: Solve for x
    x = 17,933,061.56/6,284.76
  6. Step 6: Final answer
    x = 2,853.42

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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.