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Finding the Fourth Proportional to 9,594.20, 13,144.10 and 9,234.65

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Solution

The fourth proportional to 9,594.20, 13,144.10 and 9,234.65 is: 12,651.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.20 : 13,144.10 = 9,234.65 : x
  2. Step 2: Convert to fraction form
    9,594.20/13,144.10 = 9,234.65/x
  3. Step 3: Cross multiply
    9,594.20x = 13,144.10 × 9,234.65
  4. Step 4: Simplify right side
    9,594.20x = 121,381,144.87
  5. Step 5: Solve for x
    x = 121,381,144.87/9,594.20
  6. Step 6: Final answer
    x = 12,651.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.