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Finding the Fourth Proportional to 9,408.16, 12,984.96 and 8,938.24

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Solution

The fourth proportional to 9,408.16, 12,984.96 and 8,938.24 is: 12,336.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.16 : 12,984.96 = 8,938.24 : x
  2. Step 2: Convert to fraction form
    9,408.16/12,984.96 = 8,938.24/x
  3. Step 3: Cross multiply
    9,408.16x = 12,984.96 × 8,938.24
  4. Step 4: Simplify right side
    9,408.16x = 116,062,688.87
  5. Step 5: Solve for x
    x = 116,062,688.87/9,408.16
  6. Step 6: Final answer
    x = 12,336.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.