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Finding the Fourth Proportional to 9,633.92, 14,448 and 2,709.12

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Solution

The fourth proportional to 9,633.92, 14,448 and 2,709.12 is: 4,062.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.92 : 14,448 = 2,709.12 : x
  2. Step 2: Convert to fraction form
    9,633.92/14,448 = 2,709.12/x
  3. Step 3: Cross multiply
    9,633.92x = 14,448 × 2,709.12
  4. Step 4: Simplify right side
    9,633.92x = 39,141,365.76
  5. Step 5: Solve for x
    x = 39,141,365.76/9,633.92
  6. Step 6: Final answer
    x = 4,062.87

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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.