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Finding the Fourth Proportional to 8,162.72, 12,206.72 and 6,084.16

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Solution

The fourth proportional to 8,162.72, 12,206.72 and 6,084.16 is: 9,098.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.72 : 12,206.72 = 6,084.16 : x
  2. Step 2: Convert to fraction form
    8,162.72/12,206.72 = 6,084.16/x
  3. Step 3: Cross multiply
    8,162.72x = 12,206.72 × 6,084.16
  4. Step 4: Simplify right side
    8,162.72x = 74,267,637.56
  5. Step 5: Solve for x
    x = 74,267,637.56/8,162.72
  6. Step 6: Final answer
    x = 9,098.39

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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.