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Finding the Fourth Proportional to 6,091.72, 9,090.95 and 5,435.56

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Solution

The fourth proportional to 6,091.72, 9,090.95 and 5,435.56 is: 8,111.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.72 : 9,090.95 = 5,435.56 : x
  2. Step 2: Convert to fraction form
    6,091.72/9,090.95 = 5,435.56/x
  3. Step 3: Cross multiply
    6,091.72x = 9,090.95 × 5,435.56
  4. Step 4: Simplify right side
    6,091.72x = 49,414,404.18
  5. Step 5: Solve for x
    x = 49,414,404.18/6,091.72
  6. Step 6: Final answer
    x = 8,111.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.