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Finding the Fourth Proportional to 6,593.44, 9,090.68 and 5,172.72

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Solution

The fourth proportional to 6,593.44, 9,090.68 and 5,172.72 is: 7,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.44 : 9,090.68 = 5,172.72 : x
  2. Step 2: Convert to fraction form
    6,593.44/9,090.68 = 5,172.72/x
  3. Step 3: Cross multiply
    6,593.44x = 9,090.68 × 5,172.72
  4. Step 4: Simplify right side
    6,593.44x = 47,023,542.25
  5. Step 5: Solve for x
    x = 47,023,542.25/6,593.44
  6. Step 6: Final answer
    x = 7,131.87

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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.