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Finding the Fourth Proportional to 6,137.12, 9,214.32 and 5,858.48

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Solution

The fourth proportional to 6,137.12, 9,214.32 and 5,858.48 is: 8,795.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.12 : 9,214.32 = 5,858.48 : x
  2. Step 2: Convert to fraction form
    6,137.12/9,214.32 = 5,858.48/x
  3. Step 3: Cross multiply
    6,137.12x = 9,214.32 × 5,858.48
  4. Step 4: Simplify right side
    6,137.12x = 53,981,909.43
  5. Step 5: Solve for x
    x = 53,981,909.43/6,137.12
  6. Step 6: Final answer
    x = 8,795.97

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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.