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Finding the Fourth Proportional to 6,617.85, 9,131.56 and 3,784.74

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Solution

The fourth proportional to 6,617.85, 9,131.56 and 3,784.74 is: 5,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.85 : 9,131.56 = 3,784.74 : x
  2. Step 2: Convert to fraction form
    6,617.85/9,131.56 = 3,784.74/x
  3. Step 3: Cross multiply
    6,617.85x = 9,131.56 × 3,784.74
  4. Step 4: Simplify right side
    6,617.85x = 34,560,580.39
  5. Step 5: Solve for x
    x = 34,560,580.39/6,617.85
  6. Step 6: Final answer
    x = 5,222.33

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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.