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Finding the Fourth Proportional to 9,408.66, 14,104.94 and 3,858.54

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Solution

The fourth proportional to 9,408.66, 14,104.94 and 3,858.54 is: 5,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.66 : 14,104.94 = 3,858.54 : x
  2. Step 2: Convert to fraction form
    9,408.66/14,104.94 = 3,858.54/x
  3. Step 3: Cross multiply
    9,408.66x = 14,104.94 × 3,858.54
  4. Step 4: Simplify right side
    9,408.66x = 54,424,403.00
  5. Step 5: Solve for x
    x = 54,424,403.00/9,408.66
  6. Step 6: Final answer
    x = 5,784.50

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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.