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Finding the Fourth Proportional to 7,027.58, 9,697.89 and 3,840.73

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Solution

The fourth proportional to 7,027.58, 9,697.89 and 3,840.73 is: 5,300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.58 : 9,697.89 = 3,840.73 : x
  2. Step 2: Convert to fraction form
    7,027.58/9,697.89 = 3,840.73/x
  3. Step 3: Cross multiply
    7,027.58x = 9,697.89 × 3,840.73
  4. Step 4: Simplify right side
    7,027.58x = 37,246,977.06
  5. Step 5: Solve for x
    x = 37,246,977.06/7,027.58
  6. Step 6: Final answer
    x = 5,300.12

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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.