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Finding the Fourth Proportional to 6,476.52, 9,707.49 and 2,576.37

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Solution

The fourth proportional to 6,476.52, 9,707.49 and 2,576.37 is: 3,861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.52 : 9,707.49 = 2,576.37 : x
  2. Step 2: Convert to fraction form
    6,476.52/9,707.49 = 2,576.37/x
  3. Step 3: Cross multiply
    6,476.52x = 9,707.49 × 2,576.37
  4. Step 4: Simplify right side
    6,476.52x = 25,010,086.01
  5. Step 5: Solve for x
    x = 25,010,086.01/6,476.52
  6. Step 6: Final answer
    x = 3,861.66

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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.