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Finding the Fourth Proportional to 6,169.05, 9,254.34 and 2,009.48

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Solution

The fourth proportional to 6,169.05, 9,254.34 and 2,009.48 is: 3,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.05 : 9,254.34 = 2,009.48 : x
  2. Step 2: Convert to fraction form
    6,169.05/9,254.34 = 2,009.48/x
  3. Step 3: Cross multiply
    6,169.05x = 9,254.34 × 2,009.48
  4. Step 4: Simplify right side
    6,169.05x = 18,596,387.92
  5. Step 5: Solve for x
    x = 18,596,387.92/6,169.05
  6. Step 6: Final answer
    x = 3,014.47

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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.