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Finding the Fourth Proportional to 6,755.67, 9,322.56 and 3,771.50

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Solution

The fourth proportional to 6,755.67, 9,322.56 and 3,771.50 is: 5,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755.67 : 9,322.56 = 3,771.50 : x
  2. Step 2: Convert to fraction form
    6,755.67/9,322.56 = 3,771.50/x
  3. Step 3: Cross multiply
    6,755.67x = 9,322.56 × 3,771.50
  4. Step 4: Simplify right side
    6,755.67x = 35,159,988.43
  5. Step 5: Solve for x
    x = 35,159,988.43/6,755.67
  6. Step 6: Final answer
    x = 5,204.52

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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.