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Finding the Fourth Proportional to 6,997.48, 9,647.56 and 5,733.88

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Solution

The fourth proportional to 6,997.48, 9,647.56 and 5,733.88 is: 7,905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.48 : 9,647.56 = 5,733.88 : x
  2. Step 2: Convert to fraction form
    6,997.48/9,647.56 = 5,733.88/x
  3. Step 3: Cross multiply
    6,997.48x = 9,647.56 × 5,733.88
  4. Step 4: Simplify right side
    6,997.48x = 55,317,951.33
  5. Step 5: Solve for x
    x = 55,317,951.33/6,997.48
  6. Step 6: Final answer
    x = 7,905.41

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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.