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Finding the Fourth Proportional to 6,822.81, 9,414.36 and 4,588.43

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Solution

The fourth proportional to 6,822.81, 9,414.36 and 4,588.43 is: 6,331.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.81 : 9,414.36 = 4,588.43 : x
  2. Step 2: Convert to fraction form
    6,822.81/9,414.36 = 4,588.43/x
  3. Step 3: Cross multiply
    6,822.81x = 9,414.36 × 4,588.43
  4. Step 4: Simplify right side
    6,822.81x = 43,197,084.78
  5. Step 5: Solve for x
    x = 43,197,084.78/6,822.81
  6. Step 6: Final answer
    x = 6,331.27

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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.