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Finding the Fourth Proportional to 9,704.70, 14,535.45 and 8,408.70

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Solution

The fourth proportional to 9,704.70, 14,535.45 and 8,408.70 is: 12,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.70 : 14,535.45 = 8,408.70 : x
  2. Step 2: Convert to fraction form
    9,704.70/14,535.45 = 8,408.70/x
  3. Step 3: Cross multiply
    9,704.70x = 14,535.45 × 8,408.70
  4. Step 4: Simplify right side
    9,704.70x = 122,224,238.42
  5. Step 5: Solve for x
    x = 122,224,238.42/9,704.70
  6. Step 6: Final answer
    x = 12,594.33

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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.