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Finding the Fourth Proportional to 6,805.63, 10,194.67 and 6,238.63

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Solution

The fourth proportional to 6,805.63, 10,194.67 and 6,238.63 is: 9,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.63 : 10,194.67 = 6,238.63 : x
  2. Step 2: Convert to fraction form
    6,805.63/10,194.67 = 6,238.63/x
  3. Step 3: Cross multiply
    6,805.63x = 10,194.67 × 6,238.63
  4. Step 4: Simplify right side
    6,805.63x = 63,600,774.10
  5. Step 5: Solve for x
    x = 63,600,774.10/6,805.63
  6. Step 6: Final answer
    x = 9,345.32

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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.