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Finding the Fourth Proportional to 6,469.50, 8,927.97 and 3,675.06

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Solution

The fourth proportional to 6,469.50, 8,927.97 and 3,675.06 is: 5,071.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.50 : 8,927.97 = 3,675.06 : x
  2. Step 2: Convert to fraction form
    6,469.50/8,927.97 = 3,675.06/x
  3. Step 3: Cross multiply
    6,469.50x = 8,927.97 × 3,675.06
  4. Step 4: Simplify right side
    6,469.50x = 32,810,825.43
  5. Step 5: Solve for x
    x = 32,810,825.43/6,469.50
  6. Step 6: Final answer
    x = 5,071.62

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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.