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Finding the Fourth Proportional to 6,997.26, 9,654.57 and 4,165.50

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Solution

The fourth proportional to 6,997.26, 9,654.57 and 4,165.50 is: 5,747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.26 : 9,654.57 = 4,165.50 : x
  2. Step 2: Convert to fraction form
    6,997.26/9,654.57 = 4,165.50/x
  3. Step 3: Cross multiply
    6,997.26x = 9,654.57 × 4,165.50
  4. Step 4: Simplify right side
    6,997.26x = 40,216,111.34
  5. Step 5: Solve for x
    x = 40,216,111.34/6,997.26
  6. Step 6: Final answer
    x = 5,747.41

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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.