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Finding the Fourth Proportional to 6,645.89, 9,171.35 and 3,662.00

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Solution

The fourth proportional to 6,645.89, 9,171.35 and 3,662.00 is: 5,053.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.89 : 9,171.35 = 3,662.00 : x
  2. Step 2: Convert to fraction form
    6,645.89/9,171.35 = 3,662.00/x
  3. Step 3: Cross multiply
    6,645.89x = 9,171.35 × 3,662.00
  4. Step 4: Simplify right side
    6,645.89x = 33,585,419.53
  5. Step 5: Solve for x
    x = 33,585,419.53/6,645.89
  6. Step 6: Final answer
    x = 5,053.57

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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.