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Finding the Fourth Proportional to 9,253.36, 13,878.60 and 3,408.68

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Solution

The fourth proportional to 9,253.36, 13,878.60 and 3,408.68 is: 5,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.36 : 13,878.60 = 3,408.68 : x
  2. Step 2: Convert to fraction form
    9,253.36/13,878.60 = 3,408.68/x
  3. Step 3: Cross multiply
    9,253.36x = 13,878.60 × 3,408.68
  4. Step 4: Simplify right side
    9,253.36x = 47,307,706.25
  5. Step 5: Solve for x
    x = 47,307,706.25/9,253.36
  6. Step 6: Final answer
    x = 5,112.49

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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.