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Finding the Fourth Proportional to 6,617.50, 9,131.57 and 3,633.32

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Solution

The fourth proportional to 6,617.50, 9,131.57 and 3,633.32 is: 5,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.50 : 9,131.57 = 3,633.32 : x
  2. Step 2: Convert to fraction form
    6,617.50/9,131.57 = 3,633.32/x
  3. Step 3: Cross multiply
    6,617.50x = 9,131.57 × 3,633.32
  4. Step 4: Simplify right side
    6,617.50x = 33,177,915.91
  5. Step 5: Solve for x
    x = 33,177,915.91/6,617.50
  6. Step 6: Final answer
    x = 5,013.66

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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.