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Finding the Fourth Proportional to 6,619.43, 9,131.63 and 3,823.31

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Solution

The fourth proportional to 6,619.43, 9,131.63 and 3,823.31 is: 5,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,619.43 : 9,131.63 = 3,823.31 : x
  2. Step 2: Convert to fraction form
    6,619.43/9,131.63 = 3,823.31/x
  3. Step 3: Cross multiply
    6,619.43x = 9,131.63 × 3,823.31
  4. Step 4: Simplify right side
    6,619.43x = 34,913,056.01
  5. Step 5: Solve for x
    x = 34,913,056.01/6,619.43
  6. Step 6: Final answer
    x = 5,274.33

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