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Finding the Fourth Proportional to 6,912.78, 9,536.62 and 4,673.86

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Solution

The fourth proportional to 6,912.78, 9,536.62 and 4,673.86 is: 6,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.78 : 9,536.62 = 4,673.86 : x
  2. Step 2: Convert to fraction form
    6,912.78/9,536.62 = 4,673.86/x
  3. Step 3: Cross multiply
    6,912.78x = 9,536.62 × 4,673.86
  4. Step 4: Simplify right side
    6,912.78x = 44,572,826.75
  5. Step 5: Solve for x
    x = 44,572,826.75/6,912.78
  6. Step 6: Final answer
    x = 6,447.89

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Why These Related Problems?

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