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Finding the Fourth Proportional to 6,703.94, 9,252.26 and 3,871.31

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Solution

The fourth proportional to 6,703.94, 9,252.26 and 3,871.31 is: 5,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.94 : 9,252.26 = 3,871.31 : x
  2. Step 2: Convert to fraction form
    6,703.94/9,252.26 = 3,871.31/x
  3. Step 3: Cross multiply
    6,703.94x = 9,252.26 × 3,871.31
  4. Step 4: Simplify right side
    6,703.94x = 35,818,399.47
  5. Step 5: Solve for x
    x = 35,818,399.47/6,703.94
  6. Step 6: Final answer
    x = 5,342.89

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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.