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Finding the Fourth Proportional to 6,535.96, 9,797.23 and 2,585.64

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Solution

The fourth proportional to 6,535.96, 9,797.23 and 2,585.64 is: 3,875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.96 : 9,797.23 = 2,585.64 : x
  2. Step 2: Convert to fraction form
    6,535.96/9,797.23 = 2,585.64/x
  3. Step 3: Cross multiply
    6,535.96x = 9,797.23 × 2,585.64
  4. Step 4: Simplify right side
    6,535.96x = 25,332,109.78
  5. Step 5: Solve for x
    x = 25,332,109.78/6,535.96
  6. Step 6: Final answer
    x = 3,875.81

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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.