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Finding the Fourth Proportional to 6,403.87, 9,606.33 and 2,243.77

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Solution

The fourth proportional to 6,403.87, 9,606.33 and 2,243.77 is: 3,365.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.87 : 9,606.33 = 2,243.77 : x
  2. Step 2: Convert to fraction form
    6,403.87/9,606.33 = 2,243.77/x
  3. Step 3: Cross multiply
    6,403.87x = 9,606.33 × 2,243.77
  4. Step 4: Simplify right side
    6,403.87x = 21,554,395.06
  5. Step 5: Solve for x
    x = 21,554,395.06/6,403.87
  6. Step 6: Final answer
    x = 3,365.84

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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.