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Finding the Fourth Proportional to 6,850.46, 9,437.24 and 6,516.96

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Solution

The fourth proportional to 6,850.46, 9,437.24 and 6,516.96 is: 8,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.46 : 9,437.24 = 6,516.96 : x
  2. Step 2: Convert to fraction form
    6,850.46/9,437.24 = 6,516.96/x
  3. Step 3: Cross multiply
    6,850.46x = 9,437.24 × 6,516.96
  4. Step 4: Simplify right side
    6,850.46x = 61,502,115.59
  5. Step 5: Solve for x
    x = 61,502,115.59/6,850.46
  6. Step 6: Final answer
    x = 8,977.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.