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Finding the Fourth Proportional to 9,404.40, 14,106.72 and 6,481.92

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Solution

The fourth proportional to 9,404.40, 14,106.72 and 6,481.92 is: 9,722.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.40 : 14,106.72 = 6,481.92 : x
  2. Step 2: Convert to fraction form
    9,404.40/14,106.72 = 6,481.92/x
  3. Step 3: Cross multiply
    9,404.40x = 14,106.72 × 6,481.92
  4. Step 4: Simplify right side
    9,404.40x = 91,438,630.50
  5. Step 5: Solve for x
    x = 91,438,630.50/9,404.40
  6. Step 6: Final answer
    x = 9,722.96

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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.