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Finding the Fourth Proportional to 6,843.63, 9,443.65 and 4,010.63

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Solution

The fourth proportional to 6,843.63, 9,443.65 and 4,010.63 is: 5,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.63 : 9,443.65 = 4,010.63 : x
  2. Step 2: Convert to fraction form
    6,843.63/9,443.65 = 4,010.63/x
  3. Step 3: Cross multiply
    6,843.63x = 9,443.65 × 4,010.63
  4. Step 4: Simplify right side
    6,843.63x = 37,874,986.00
  5. Step 5: Solve for x
    x = 37,874,986.00/6,843.63
  6. Step 6: Final answer
    x = 5,534.34

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Why These Related Problems?

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