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Finding the Fourth Proportional to 6,713.26, 9,273.64 and 6,385.22

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Solution

The fourth proportional to 6,713.26, 9,273.64 and 6,385.22 is: 8,820.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.26 : 9,273.64 = 6,385.22 : x
  2. Step 2: Convert to fraction form
    6,713.26/9,273.64 = 6,385.22/x
  3. Step 3: Cross multiply
    6,713.26x = 9,273.64 × 6,385.22
  4. Step 4: Simplify right side
    6,713.26x = 59,214,231.60
  5. Step 5: Solve for x
    x = 59,214,231.60/6,713.26
  6. Step 6: Final answer
    x = 8,820.49

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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.