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Finding the Fourth Proportional to 6,009.48, 9,014.21 and 2,261.96

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Solution

The fourth proportional to 6,009.48, 9,014.21 and 2,261.96 is: 3,392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.48 : 9,014.21 = 2,261.96 : x
  2. Step 2: Convert to fraction form
    6,009.48/9,014.21 = 2,261.96/x
  3. Step 3: Cross multiply
    6,009.48x = 9,014.21 × 2,261.96
  4. Step 4: Simplify right side
    6,009.48x = 20,389,782.45
  5. Step 5: Solve for x
    x = 20,389,782.45/6,009.48
  6. Step 6: Final answer
    x = 3,392.94

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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.