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Finding the Fourth Proportional to 8,133.96, 12,192.74 and 6,182.06

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Solution

The fourth proportional to 8,133.96, 12,192.74 and 6,182.06 is: 9,266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.96 : 12,192.74 = 6,182.06 : x
  2. Step 2: Convert to fraction form
    8,133.96/12,192.74 = 6,182.06/x
  3. Step 3: Cross multiply
    8,133.96x = 12,192.74 × 6,182.06
  4. Step 4: Simplify right side
    8,133.96x = 75,376,273.00
  5. Step 5: Solve for x
    x = 75,376,273.00/8,133.96
  6. Step 6: Final answer
    x = 9,266.86

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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.