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Finding the Fourth Proportional to 6,009.66, 9,016.92 and 2,549.34

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Solution

The fourth proportional to 6,009.66, 9,016.92 and 2,549.34 is: 3,825.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.66 : 9,016.92 = 2,549.34 : x
  2. Step 2: Convert to fraction form
    6,009.66/9,016.92 = 2,549.34/x
  3. Step 3: Cross multiply
    6,009.66x = 9,016.92 × 2,549.34
  4. Step 4: Simplify right side
    6,009.66x = 22,987,194.83
  5. Step 5: Solve for x
    x = 22,987,194.83/6,009.66
  6. Step 6: Final answer
    x = 3,825.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.