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Finding the Fourth Proportional to 6,086.31, 9,129.86 and 2,967.81

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Solution

The fourth proportional to 6,086.31, 9,129.86 and 2,967.81 is: 4,451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.31 : 9,129.86 = 2,967.81 : x
  2. Step 2: Convert to fraction form
    6,086.31/9,129.86 = 2,967.81/x
  3. Step 3: Cross multiply
    6,086.31x = 9,129.86 × 2,967.81
  4. Step 4: Simplify right side
    6,086.31x = 27,095,689.81
  5. Step 5: Solve for x
    x = 27,095,689.81/6,086.31
  6. Step 6: Final answer
    x = 4,451.91

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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.