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Finding the Fourth Proportional to 9,769.94, 14,654.71 and 2,374.44

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Solution

The fourth proportional to 9,769.94, 14,654.71 and 2,374.44 is: 3,561.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.94 : 14,654.71 = 2,374.44 : x
  2. Step 2: Convert to fraction form
    9,769.94/14,654.71 = 2,374.44/x
  3. Step 3: Cross multiply
    9,769.94x = 14,654.71 × 2,374.44
  4. Step 4: Simplify right side
    9,769.94x = 34,796,723.68
  5. Step 5: Solve for x
    x = 34,796,723.68/9,769.94
  6. Step 6: Final answer
    x = 3,561.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.