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Finding the Fourth Proportional to 6,516.12, 9,761.16 and 3,917.64

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Solution

The fourth proportional to 6,516.12, 9,761.16 and 3,917.64 is: 5,868.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.12 : 9,761.16 = 3,917.64 : x
  2. Step 2: Convert to fraction form
    6,516.12/9,761.16 = 3,917.64/x
  3. Step 3: Cross multiply
    6,516.12x = 9,761.16 × 3,917.64
  4. Step 4: Simplify right side
    6,516.12x = 38,240,710.86
  5. Step 5: Solve for x
    x = 38,240,710.86/6,516.12
  6. Step 6: Final answer
    x = 5,868.63

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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.