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Finding the Fourth Proportional to 9,408.94, 14,110.53 and 3,251.50

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Solution

The fourth proportional to 9,408.94, 14,110.53 and 3,251.50 is: 4,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.94 : 14,110.53 = 3,251.50 : x
  2. Step 2: Convert to fraction form
    9,408.94/14,110.53 = 3,251.50/x
  3. Step 3: Cross multiply
    9,408.94x = 14,110.53 × 3,251.50
  4. Step 4: Simplify right side
    9,408.94x = 45,880,388.30
  5. Step 5: Solve for x
    x = 45,880,388.30/9,408.94
  6. Step 6: Final answer
    x = 4,876.25

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Why These Related Problems?

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