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Finding the Fourth Proportional to 7,027.28, 9,697.07 and 3,883.46

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Solution

The fourth proportional to 7,027.28, 9,697.07 and 3,883.46 is: 5,358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.28 : 9,697.07 = 3,883.46 : x
  2. Step 2: Convert to fraction form
    7,027.28/9,697.07 = 3,883.46/x
  3. Step 3: Cross multiply
    7,027.28x = 9,697.07 × 3,883.46
  4. Step 4: Simplify right side
    7,027.28x = 37,658,164.04
  5. Step 5: Solve for x
    x = 37,658,164.04/7,027.28
  6. Step 6: Final answer
    x = 5,358.85

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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.