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Finding the Fourth Proportional to 6,400.33, 9,600.47 and 2,891.57

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Solution

The fourth proportional to 6,400.33, 9,600.47 and 2,891.57 is: 4,337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.33 : 9,600.47 = 2,891.57 : x
  2. Step 2: Convert to fraction form
    6,400.33/9,600.47 = 2,891.57/x
  3. Step 3: Cross multiply
    6,400.33x = 9,600.47 × 2,891.57
  4. Step 4: Simplify right side
    6,400.33x = 27,760,379.42
  5. Step 5: Solve for x
    x = 27,760,379.42/6,400.33
  6. Step 6: Final answer
    x = 4,337.34

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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.