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Finding the Fourth Proportional to 6,871.38, 9,490.23 and 4,629.33

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Solution

The fourth proportional to 6,871.38, 9,490.23 and 4,629.33 is: 6,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.38 : 9,490.23 = 4,629.33 : x
  2. Step 2: Convert to fraction form
    6,871.38/9,490.23 = 4,629.33/x
  3. Step 3: Cross multiply
    6,871.38x = 9,490.23 × 4,629.33
  4. Step 4: Simplify right side
    6,871.38x = 43,933,406.45
  5. Step 5: Solve for x
    x = 43,933,406.45/6,871.38
  6. Step 6: Final answer
    x = 6,393.68

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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.