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Finding the Fourth Proportional to 6,517.18, 9,775.56 and 3,735.22

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Solution

The fourth proportional to 6,517.18, 9,775.56 and 3,735.22 is: 5,602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.18 : 9,775.56 = 3,735.22 : x
  2. Step 2: Convert to fraction form
    6,517.18/9,775.56 = 3,735.22/x
  3. Step 3: Cross multiply
    6,517.18x = 9,775.56 × 3,735.22
  4. Step 4: Simplify right side
    6,517.18x = 36,513,867.22
  5. Step 5: Solve for x
    x = 36,513,867.22/6,517.18
  6. Step 6: Final answer
    x = 5,602.71

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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.