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Finding the Fourth Proportional to 9,604.78, 14,408.34 and 2,679.28

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Solution

The fourth proportional to 9,604.78, 14,408.34 and 2,679.28 is: 4,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.78 : 14,408.34 = 2,679.28 : x
  2. Step 2: Convert to fraction form
    9,604.78/14,408.34 = 2,679.28/x
  3. Step 3: Cross multiply
    9,604.78x = 14,408.34 × 2,679.28
  4. Step 4: Simplify right side
    9,604.78x = 38,603,977.20
  5. Step 5: Solve for x
    x = 38,603,977.20/9,604.78
  6. Step 6: Final answer
    x = 4,019.25

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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.