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Finding the Fourth Proportional to 6,530.81, 9,797.87 and 3,023.34

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Solution

The fourth proportional to 6,530.81, 9,797.87 and 3,023.34 is: 4,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.81 : 9,797.87 = 3,023.34 : x
  2. Step 2: Convert to fraction form
    6,530.81/9,797.87 = 3,023.34/x
  3. Step 3: Cross multiply
    6,530.81x = 9,797.87 × 3,023.34
  4. Step 4: Simplify right side
    6,530.81x = 29,622,319.58
  5. Step 5: Solve for x
    x = 29,622,319.58/6,530.81
  6. Step 6: Final answer
    x = 4,535.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.