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Finding the Fourth Proportional to 8,642.94, 12,944.96 and 6,057.42

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Solution

The fourth proportional to 8,642.94, 12,944.96 and 6,057.42 is: 9,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.94 : 12,944.96 = 6,057.42 : x
  2. Step 2: Convert to fraction form
    8,642.94/12,944.96 = 6,057.42/x
  3. Step 3: Cross multiply
    8,642.94x = 12,944.96 × 6,057.42
  4. Step 4: Simplify right side
    8,642.94x = 78,413,059.60
  5. Step 5: Solve for x
    x = 78,413,059.60/8,642.94
  6. Step 6: Final answer
    x = 9,072.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.