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Finding the Fourth Proportional to 11,209.68, 15,441.84 and 9,440.64

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Solution

The fourth proportional to 11,209.68, 15,441.84 and 9,440.64 is: 13,004.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.68 : 15,441.84 = 9,440.64 : x
  2. Step 2: Convert to fraction form
    11,209.68/15,441.84 = 9,440.64/x
  3. Step 3: Cross multiply
    11,209.68x = 15,441.84 × 9,440.64
  4. Step 4: Simplify right side
    11,209.68x = 145,780,852.38
  5. Step 5: Solve for x
    x = 145,780,852.38/11,209.68
  6. Step 6: Final answer
    x = 13,004.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.