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Finding the Fourth Proportional to 6,516.46, 9,775.93 and 2,134.18

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Solution

The fourth proportional to 6,516.46, 9,775.93 and 2,134.18 is: 3,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.46 : 9,775.93 = 2,134.18 : x
  2. Step 2: Convert to fraction form
    6,516.46/9,775.93 = 2,134.18/x
  3. Step 3: Cross multiply
    6,516.46x = 9,775.93 × 2,134.18
  4. Step 4: Simplify right side
    6,516.46x = 20,863,594.29
  5. Step 5: Solve for x
    x = 20,863,594.29/6,516.46
  6. Step 6: Final answer
    x = 3,201.68

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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.