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Finding the Fourth Proportional to 6,517.67, 9,767.79 and 3,557.45

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Solution

The fourth proportional to 6,517.67, 9,767.79 and 3,557.45 is: 5,331.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.67 : 9,767.79 = 3,557.45 : x
  2. Step 2: Convert to fraction form
    6,517.67/9,767.79 = 3,557.45/x
  3. Step 3: Cross multiply
    6,517.67x = 9,767.79 × 3,557.45
  4. Step 4: Simplify right side
    6,517.67x = 34,748,448.95
  5. Step 5: Solve for x
    x = 34,748,448.95/6,517.67
  6. Step 6: Final answer
    x = 5,331.43

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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.