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Finding the Fourth Proportional to 6,194.93, 8,539.16 and 4,866.35

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Solution

The fourth proportional to 6,194.93, 8,539.16 and 4,866.35 is: 6,707.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.93 : 8,539.16 = 4,866.35 : x
  2. Step 2: Convert to fraction form
    6,194.93/8,539.16 = 4,866.35/x
  3. Step 3: Cross multiply
    6,194.93x = 8,539.16 × 4,866.35
  4. Step 4: Simplify right side
    6,194.93x = 41,554,474.24
  5. Step 5: Solve for x
    x = 41,554,474.24/6,194.93
  6. Step 6: Final answer
    x = 6,707.83

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