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Finding the Fourth Proportional to 9,388.20, 12,953.78 and 5,408.26

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Solution

The fourth proportional to 9,388.20, 12,953.78 and 5,408.26 is: 7,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388.20 : 12,953.78 = 5,408.26 : x
  2. Step 2: Convert to fraction form
    9,388.20/12,953.78 = 5,408.26/x
  3. Step 3: Cross multiply
    9,388.20x = 12,953.78 × 5,408.26
  4. Step 4: Simplify right side
    9,388.20x = 70,057,410.22
  5. Step 5: Solve for x
    x = 70,057,410.22/9,388.20
  6. Step 6: Final answer
    x = 7,462.28

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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.