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Finding the Fourth Proportional to 9,490.16, 14,231.57 and 3,940.65

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Solution

The fourth proportional to 9,490.16, 14,231.57 and 3,940.65 is: 5,909.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.16 : 14,231.57 = 3,940.65 : x
  2. Step 2: Convert to fraction form
    9,490.16/14,231.57 = 3,940.65/x
  3. Step 3: Cross multiply
    9,490.16x = 14,231.57 × 3,940.65
  4. Step 4: Simplify right side
    9,490.16x = 56,081,616.62
  5. Step 5: Solve for x
    x = 56,081,616.62/9,490.16
  6. Step 6: Final answer
    x = 5,909.45

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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.