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Finding the Fourth Proportional to 6,505.51, 9,757.25 and 2,121.99

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Solution

The fourth proportional to 6,505.51, 9,757.25 and 2,121.99 is: 3,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.51 : 9,757.25 = 2,121.99 : x
  2. Step 2: Convert to fraction form
    6,505.51/9,757.25 = 2,121.99/x
  3. Step 3: Cross multiply
    6,505.51x = 9,757.25 × 2,121.99
  4. Step 4: Simplify right side
    6,505.51x = 20,704,751.92
  5. Step 5: Solve for x
    x = 20,704,751.92/6,505.51
  6. Step 6: Final answer
    x = 3,182.65

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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.