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Finding the Fourth Proportional to 6,530.85, 9,797.94 and 3,023.38

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Solution

The fourth proportional to 6,530.85, 9,797.94 and 3,023.38 is: 4,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.85 : 9,797.94 = 3,023.38 : x
  2. Step 2: Convert to fraction form
    6,530.85/9,797.94 = 3,023.38/x
  3. Step 3: Cross multiply
    6,530.85x = 9,797.94 × 3,023.38
  4. Step 4: Simplify right side
    6,530.85x = 29,622,927.14
  5. Step 5: Solve for x
    x = 29,622,927.14/6,530.85
  6. Step 6: Final answer
    x = 4,535.84

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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.