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Finding the Fourth Proportional to 9,582.20, 14,379.78 and 3,426.20

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Solution

The fourth proportional to 9,582.20, 14,379.78 and 3,426.20 is: 5,141.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.20 : 14,379.78 = 3,426.20 : x
  2. Step 2: Convert to fraction form
    9,582.20/14,379.78 = 3,426.20/x
  3. Step 3: Cross multiply
    9,582.20x = 14,379.78 × 3,426.20
  4. Step 4: Simplify right side
    9,582.20x = 49,267,930.34
  5. Step 5: Solve for x
    x = 49,267,930.34/9,582.20
  6. Step 6: Final answer
    x = 5,141.61

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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.