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Finding the Fourth Proportional to 6,852.33, 9,456.28 and 4,021.31

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Solution

The fourth proportional to 6,852.33, 9,456.28 and 4,021.31 is: 5,549.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.33 : 9,456.28 = 4,021.31 : x
  2. Step 2: Convert to fraction form
    6,852.33/9,456.28 = 4,021.31/x
  3. Step 3: Cross multiply
    6,852.33x = 9,456.28 × 4,021.31
  4. Step 4: Simplify right side
    6,852.33x = 38,026,646.91
  5. Step 5: Solve for x
    x = 38,026,646.91/6,852.33
  6. Step 6: Final answer
    x = 5,549.45

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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.