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Finding the Fourth Proportional to 7,027.32, 9,697.44 and 3,883.56

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Solution

The fourth proportional to 7,027.32, 9,697.44 and 3,883.56 is: 5,359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.32 : 9,697.44 = 3,883.56 : x
  2. Step 2: Convert to fraction form
    7,027.32/9,697.44 = 3,883.56/x
  3. Step 3: Cross multiply
    7,027.32x = 9,697.44 × 3,883.56
  4. Step 4: Simplify right side
    7,027.32x = 37,660,590.09
  5. Step 5: Solve for x
    x = 37,660,590.09/7,027.32
  6. Step 6: Final answer
    x = 5,359.17

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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.