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Finding the Fourth Proportional to 6,645.89, 9,171.23 and 3,813.20

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Solution

The fourth proportional to 6,645.89, 9,171.23 and 3,813.20 is: 5,262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.89 : 9,171.23 = 3,813.20 : x
  2. Step 2: Convert to fraction form
    6,645.89/9,171.23 = 3,813.20/x
  3. Step 3: Cross multiply
    6,645.89x = 9,171.23 × 3,813.20
  4. Step 4: Simplify right side
    6,645.89x = 34,971,701.82
  5. Step 5: Solve for x
    x = 34,971,701.82/6,645.89
  6. Step 6: Final answer
    x = 5,262.16

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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.