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Finding the Fourth Proportional to 6,866.31, 9,472.34 and 4,032.79

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Solution

The fourth proportional to 6,866.31, 9,472.34 and 4,032.79 is: 5,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.31 : 9,472.34 = 4,032.79 : x
  2. Step 2: Convert to fraction form
    6,866.31/9,472.34 = 4,032.79/x
  3. Step 3: Cross multiply
    6,866.31x = 9,472.34 × 4,032.79
  4. Step 4: Simplify right side
    6,866.31x = 38,199,958.03
  5. Step 5: Solve for x
    x = 38,199,958.03/6,866.31
  6. Step 6: Final answer
    x = 5,563.39

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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.