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Finding the Fourth Proportional to 9,659,819.20, 14,489,728.80 and 6,825,467.20

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Solution

The fourth proportional to 9,659,819.20, 14,489,728.80 and 6,825,467.20 is: 10,238,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659,819.20 : 14,489,728.80 = 6,825,467.20 : x
  2. Step 2: Convert to fraction form
    9,659,819.20/14,489,728.80 = 6,825,467.20/x
  3. Step 3: Cross multiply
    9,659,819.20x = 14,489,728.80 × 6,825,467.20
  4. Step 4: Simplify right side
    9,659,819.20x = 98,899,168,661,295.38
  5. Step 5: Solve for x
    x = 98,899,168,661,295.38/9,659,819.20
  6. Step 6: Final answer
    x = 10,238,200.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.