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Finding the Fourth Proportional to 6,645.81, 9,171.33 and 3,661.77

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Solution

The fourth proportional to 6,645.81, 9,171.33 and 3,661.77 is: 5,053.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.81 : 9,171.33 = 3,661.77 : x
  2. Step 2: Convert to fraction form
    6,645.81/9,171.33 = 3,661.77/x
  3. Step 3: Cross multiply
    6,645.81x = 9,171.33 × 3,661.77
  4. Step 4: Simplify right side
    6,645.81x = 33,583,301.05
  5. Step 5: Solve for x
    x = 33,583,301.05/6,645.81
  6. Step 6: Final answer
    x = 5,053.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.