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Finding the Fourth Proportional to 6,337.06, 9,498.30 and 3,998.80

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Solution

The fourth proportional to 6,337.06, 9,498.30 and 3,998.80 is: 5,993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.06 : 9,498.30 = 3,998.80 : x
  2. Step 2: Convert to fraction form
    6,337.06/9,498.30 = 3,998.80/x
  3. Step 3: Cross multiply
    6,337.06x = 9,498.30 × 3,998.80
  4. Step 4: Simplify right side
    6,337.06x = 37,981,802.04
  5. Step 5: Solve for x
    x = 37,981,802.04/6,337.06
  6. Step 6: Final answer
    x = 5,993.60

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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.