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Finding the Fourth Proportional to 6,351.46, 9,516.63 and 2,189.20

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Solution

The fourth proportional to 6,351.46, 9,516.63 and 2,189.20 is: 3,280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.46 : 9,516.63 = 2,189.20 : x
  2. Step 2: Convert to fraction form
    6,351.46/9,516.63 = 2,189.20/x
  3. Step 3: Cross multiply
    6,351.46x = 9,516.63 × 2,189.20
  4. Step 4: Simplify right side
    6,351.46x = 20,833,806.40
  5. Step 5: Solve for x
    x = 20,833,806.40/6,351.46
  6. Step 6: Final answer
    x = 3,280.16

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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.