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Finding the Fourth Proportional to 9,640.20, 14,468.51 and 6,873.65

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Solution

The fourth proportional to 9,640.20, 14,468.51 and 6,873.65 is: 10,316.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.20 : 14,468.51 = 6,873.65 : x
  2. Step 2: Convert to fraction form
    9,640.20/14,468.51 = 6,873.65/x
  3. Step 3: Cross multiply
    9,640.20x = 14,468.51 × 6,873.65
  4. Step 4: Simplify right side
    9,640.20x = 99,451,473.76
  5. Step 5: Solve for x
    x = 99,451,473.76/9,640.20
  6. Step 6: Final answer
    x = 10,316.33

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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.