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Finding the Fourth Proportional to 9,474, 14,210.96 and 2,899.88

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Solution

The fourth proportional to 9,474, 14,210.96 and 2,899.88 is: 4,349.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474 : 14,210.96 = 2,899.88 : x
  2. Step 2: Convert to fraction form
    9,474/14,210.96 = 2,899.88/x
  3. Step 3: Cross multiply
    9,474x = 14,210.96 × 2,899.88
  4. Step 4: Simplify right side
    9,474x = 41,210,078.68
  5. Step 5: Solve for x
    x = 41,210,078.68/9,474
  6. Step 6: Final answer
    x = 4,349.81

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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.