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Finding the Fourth Proportional to 6,191.98, 8,541.93 and 4,097.86

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Solution

The fourth proportional to 6,191.98, 8,541.93 and 4,097.86 is: 5,653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.98 : 8,541.93 = 4,097.86 : x
  2. Step 2: Convert to fraction form
    6,191.98/8,541.93 = 4,097.86/x
  3. Step 3: Cross multiply
    6,191.98x = 8,541.93 × 4,097.86
  4. Step 4: Simplify right side
    6,191.98x = 35,003,633.27
  5. Step 5: Solve for x
    x = 35,003,633.27/6,191.98
  6. Step 6: Final answer
    x = 5,653.06

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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.