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Finding the Fourth Proportional to 9,408.45, 12,984.25 and 5,216.70

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Solution

The fourth proportional to 9,408.45, 12,984.25 and 5,216.70 is: 7,199.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.45 : 12,984.25 = 5,216.70 : x
  2. Step 2: Convert to fraction form
    9,408.45/12,984.25 = 5,216.70/x
  3. Step 3: Cross multiply
    9,408.45x = 12,984.25 × 5,216.70
  4. Step 4: Simplify right side
    9,408.45x = 67,734,982.41
  5. Step 5: Solve for x
    x = 67,734,982.41/9,408.45
  6. Step 6: Final answer
    x = 7,199.37

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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.