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Finding the Fourth Proportional to 9,408.35, 12,983.49 and 5,159.43

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Solution

The fourth proportional to 9,408.35, 12,983.49 and 5,159.43 is: 7,119.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.35 : 12,983.49 = 5,159.43 : x
  2. Step 2: Convert to fraction form
    9,408.35/12,983.49 = 5,159.43/x
  3. Step 3: Cross multiply
    9,408.35x = 12,983.49 × 5,159.43
  4. Step 4: Simplify right side
    9,408.35x = 66,987,407.81
  5. Step 5: Solve for x
    x = 66,987,407.81/9,408.35
  6. Step 6: Final answer
    x = 7,119.99

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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.