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Finding the Fourth Proportional to 9,604.34, 14,394.20 and 7,408.46

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Solution

The fourth proportional to 9,604.34, 14,394.20 and 7,408.46 is: 11,103.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.34 : 14,394.20 = 7,408.46 : x
  2. Step 2: Convert to fraction form
    9,604.34/14,394.20 = 7,408.46/x
  3. Step 3: Cross multiply
    9,604.34x = 14,394.20 × 7,408.46
  4. Step 4: Simplify right side
    9,604.34x = 106,638,745.92
  5. Step 5: Solve for x
    x = 106,638,745.92/9,604.34
  6. Step 6: Final answer
    x = 11,103.19

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