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Finding the Fourth Proportional to 6,509.61, 9,768.06 and 2,616.75

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Solution

The fourth proportional to 6,509.61, 9,768.06 and 2,616.75 is: 3,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.61 : 9,768.06 = 2,616.75 : x
  2. Step 2: Convert to fraction form
    6,509.61/9,768.06 = 2,616.75/x
  3. Step 3: Cross multiply
    6,509.61x = 9,768.06 × 2,616.75
  4. Step 4: Simplify right side
    6,509.61x = 25,560,571.01
  5. Step 5: Solve for x
    x = 25,560,571.01/6,509.61
  6. Step 6: Final answer
    x = 3,926.59

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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.