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Finding the Fourth Proportional to 6,525.64, 9,789.18 and 1,909

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Solution

The fourth proportional to 6,525.64, 9,789.18 and 1,909 is: 2,863.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.64 : 9,789.18 = 1,909 : x
  2. Step 2: Convert to fraction form
    6,525.64/9,789.18 = 1,909/x
  3. Step 3: Cross multiply
    6,525.64x = 9,789.18 × 1,909
  4. Step 4: Simplify right side
    6,525.64x = 18,687,544.62
  5. Step 5: Solve for x
    x = 18,687,544.62/6,525.64
  6. Step 6: Final answer
    x = 2,863.71

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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.