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Finding the Fourth Proportional to 6,403.74, 9,608.67 and 2,896.23

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Solution

The fourth proportional to 6,403.74, 9,608.67 and 2,896.23 is: 4,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.74 : 9,608.67 = 2,896.23 : x
  2. Step 2: Convert to fraction form
    6,403.74/9,608.67 = 2,896.23/x
  3. Step 3: Cross multiply
    6,403.74x = 9,608.67 × 2,896.23
  4. Step 4: Simplify right side
    6,403.74x = 27,828,918.31
  5. Step 5: Solve for x
    x = 27,828,918.31/6,403.74
  6. Step 6: Final answer
    x = 4,345.73

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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.