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Finding the Fourth Proportional to 9,575.30, 14,330.55 and 8,408.90

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Solution

The fourth proportional to 9,575.30, 14,330.55 and 8,408.90 is: 12,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.30 : 14,330.55 = 8,408.90 : x
  2. Step 2: Convert to fraction form
    9,575.30/14,330.55 = 8,408.90/x
  3. Step 3: Cross multiply
    9,575.30x = 14,330.55 × 8,408.90
  4. Step 4: Simplify right side
    9,575.30x = 120,504,161.90
  5. Step 5: Solve for x
    x = 120,504,161.90/9,575.30
  6. Step 6: Final answer
    x = 12,584.90

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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.