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Finding the Fourth Proportional to 9,704.20, 14,534.70 and 8,408.20

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Solution

The fourth proportional to 9,704.20, 14,534.70 and 8,408.20 is: 12,593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.20 : 14,534.70 = 8,408.20 : x
  2. Step 2: Convert to fraction form
    9,704.20/14,534.70 = 8,408.20/x
  3. Step 3: Cross multiply
    9,704.20x = 14,534.70 × 8,408.20
  4. Step 4: Simplify right side
    9,704.20x = 122,210,664.54
  5. Step 5: Solve for x
    x = 122,210,664.54/9,704.20
  6. Step 6: Final answer
    x = 12,593.58

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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.