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Finding the Fourth Proportional to 9,408.54, 14,109.27 and 4,139.90

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Solution

The fourth proportional to 9,408.54, 14,109.27 and 4,139.90 is: 6,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.54 : 14,109.27 = 4,139.90 : x
  2. Step 2: Convert to fraction form
    9,408.54/14,109.27 = 4,139.90/x
  3. Step 3: Cross multiply
    9,408.54x = 14,109.27 × 4,139.90
  4. Step 4: Simplify right side
    9,408.54x = 58,410,966.87
  5. Step 5: Solve for x
    x = 58,410,966.87/9,408.54
  6. Step 6: Final answer
    x = 6,208.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.