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Finding the Fourth Proportional to 7,027.26, 9,698.19 and 3,883.50

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Solution

The fourth proportional to 7,027.26, 9,698.19 and 3,883.50 is: 5,359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.26 : 9,698.19 = 3,883.50 : x
  2. Step 2: Convert to fraction form
    7,027.26/9,698.19 = 3,883.50/x
  3. Step 3: Cross multiply
    7,027.26x = 9,698.19 × 3,883.50
  4. Step 4: Simplify right side
    7,027.26x = 37,662,920.87
  5. Step 5: Solve for x
    x = 37,662,920.87/7,027.26
  6. Step 6: Final answer
    x = 5,359.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.