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Finding the Fourth Proportional to 6,009.46, 9,014.20 and 1,626.80

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Solution

The fourth proportional to 6,009.46, 9,014.20 and 1,626.80 is: 2,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.46 : 9,014.20 = 1,626.80 : x
  2. Step 2: Convert to fraction form
    6,009.46/9,014.20 = 1,626.80/x
  3. Step 3: Cross multiply
    6,009.46x = 9,014.20 × 1,626.80
  4. Step 4: Simplify right side
    6,009.46x = 14,664,300.56
  5. Step 5: Solve for x
    x = 14,664,300.56/6,009.46
  6. Step 6: Final answer
    x = 2,440.20

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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.