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Finding the Fourth Proportional to 6,519.34, 9,779 and 2,622.83

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Solution

The fourth proportional to 6,519.34, 9,779 and 2,622.83 is: 3,934.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.34 : 9,779 = 2,622.83 : x
  2. Step 2: Convert to fraction form
    6,519.34/9,779 = 2,622.83/x
  3. Step 3: Cross multiply
    6,519.34x = 9,779 × 2,622.83
  4. Step 4: Simplify right side
    6,519.34x = 25,648,654.57
  5. Step 5: Solve for x
    x = 25,648,654.57/6,519.34
  6. Step 6: Final answer
    x = 3,934.24

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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.