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Finding the Fourth Proportional to 6,997.23, 9,657.09 and 4,012.48

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Solution

The fourth proportional to 6,997.23, 9,657.09 and 4,012.48 is: 5,537.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.23 : 9,657.09 = 4,012.48 : x
  2. Step 2: Convert to fraction form
    6,997.23/9,657.09 = 4,012.48/x
  3. Step 3: Cross multiply
    6,997.23x = 9,657.09 × 4,012.48
  4. Step 4: Simplify right side
    6,997.23x = 38,748,892.55
  5. Step 5: Solve for x
    x = 38,748,892.55/6,997.23
  6. Step 6: Final answer
    x = 5,537.75

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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.