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Finding the Fourth Proportional to 6,169.47, 9,254.85 and 2,009.80

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Solution

The fourth proportional to 6,169.47, 9,254.85 and 2,009.80 is: 3,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.47 : 9,254.85 = 2,009.80 : x
  2. Step 2: Convert to fraction form
    6,169.47/9,254.85 = 2,009.80/x
  3. Step 3: Cross multiply
    6,169.47x = 9,254.85 × 2,009.80
  4. Step 4: Simplify right side
    6,169.47x = 18,600,397.53
  5. Step 5: Solve for x
    x = 18,600,397.53/6,169.47
  6. Step 6: Final answer
    x = 3,014.91

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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.