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Finding the Fourth Proportional to 7,027.96, 9,697.80 and 3,883.36

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Solution

The fourth proportional to 7,027.96, 9,697.80 and 3,883.36 is: 5,358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.96 : 9,697.80 = 3,883.36 : x
  2. Step 2: Convert to fraction form
    7,027.96/9,697.80 = 3,883.36/x
  3. Step 3: Cross multiply
    7,027.96x = 9,697.80 × 3,883.36
  4. Step 4: Simplify right side
    7,027.96x = 37,660,048.61
  5. Step 5: Solve for x
    x = 37,660,048.61/7,027.96
  6. Step 6: Final answer
    x = 5,358.60

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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.