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Finding the Fourth Proportional to 6,516.56, 9,776.42 and 2,134.04

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Solution

The fourth proportional to 6,516.56, 9,776.42 and 2,134.04 is: 3,201.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.56 : 9,776.42 = 2,134.04 : x
  2. Step 2: Convert to fraction form
    6,516.56/9,776.42 = 2,134.04/x
  3. Step 3: Cross multiply
    6,516.56x = 9,776.42 × 2,134.04
  4. Step 4: Simplify right side
    6,516.56x = 20,863,271.34
  5. Step 5: Solve for x
    x = 20,863,271.34/6,516.56
  6. Step 6: Final answer
    x = 3,201.58

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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.