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Finding the Fourth Proportional to 6,617.46, 9,902.51 and 5,731.07

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Solution

The fourth proportional to 6,617.46, 9,902.51 and 5,731.07 is: 8,576.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.46 : 9,902.51 = 5,731.07 : x
  2. Step 2: Convert to fraction form
    6,617.46/9,902.51 = 5,731.07/x
  3. Step 3: Cross multiply
    6,617.46x = 9,902.51 × 5,731.07
  4. Step 4: Simplify right side
    6,617.46x = 56,751,937.43
  5. Step 5: Solve for x
    x = 56,751,937.43/6,617.46
  6. Step 6: Final answer
    x = 8,576.09

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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.