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Finding the Fourth Proportional to 7,027.14, 9,697.08 and 3,883.14

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Solution

The fourth proportional to 7,027.14, 9,697.08 and 3,883.14 is: 5,358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.14 : 9,697.08 = 3,883.14 : x
  2. Step 2: Convert to fraction form
    7,027.14/9,697.08 = 3,883.14/x
  3. Step 3: Cross multiply
    7,027.14x = 9,697.08 × 3,883.14
  4. Step 4: Simplify right side
    7,027.14x = 37,655,119.23
  5. Step 5: Solve for x
    x = 37,655,119.23/7,027.14
  6. Step 6: Final answer
    x = 5,358.53

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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.