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Finding the Fourth Proportional to 9,179.64, 13,769.64 and 2,605.86

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Solution

The fourth proportional to 9,179.64, 13,769.64 and 2,605.86 is: 3,908.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.64 : 13,769.64 = 2,605.86 : x
  2. Step 2: Convert to fraction form
    9,179.64/13,769.64 = 2,605.86/x
  3. Step 3: Cross multiply
    9,179.64x = 13,769.64 × 2,605.86
  4. Step 4: Simplify right side
    9,179.64x = 35,881,754.09
  5. Step 5: Solve for x
    x = 35,881,754.09/9,179.64
  6. Step 6: Final answer
    x = 3,908.84

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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.