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Finding the Fourth Proportional to 6,186.81, 9,277.92 and 2,487.81

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Solution

The fourth proportional to 6,186.81, 9,277.92 and 2,487.81 is: 3,730.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.81 : 9,277.92 = 2,487.81 : x
  2. Step 2: Convert to fraction form
    6,186.81/9,277.92 = 2,487.81/x
  3. Step 3: Cross multiply
    6,186.81x = 9,277.92 × 2,487.81
  4. Step 4: Simplify right side
    6,186.81x = 23,081,702.16
  5. Step 5: Solve for x
    x = 23,081,702.16/6,186.81
  6. Step 6: Final answer
    x = 3,730.79

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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.