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Finding the Fourth Proportional to 6,551.70, 9,042.06 and 4,033.31

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Solution

The fourth proportional to 6,551.70, 9,042.06 and 4,033.31 is: 5,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.70 : 9,042.06 = 4,033.31 : x
  2. Step 2: Convert to fraction form
    6,551.70/9,042.06 = 4,033.31/x
  3. Step 3: Cross multiply
    6,551.70x = 9,042.06 × 4,033.31
  4. Step 4: Simplify right side
    6,551.70x = 36,469,400.93
  5. Step 5: Solve for x
    x = 36,469,400.93/6,551.70
  6. Step 6: Final answer
    x = 5,566.41

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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.