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Finding the Fourth Proportional to 8,908.65, 12,280.82 and 6,546.69

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Solution

The fourth proportional to 8,908.65, 12,280.82 and 6,546.69 is: 9,024.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,908.65 : 12,280.82 = 6,546.69 : x
  2. Step 2: Convert to fraction form
    8,908.65/12,280.82 = 6,546.69/x
  3. Step 3: Cross multiply
    8,908.65x = 12,280.82 × 6,546.69
  4. Step 4: Simplify right side
    8,908.65x = 80,398,688.75
  5. Step 5: Solve for x
    x = 80,398,688.75/8,908.65
  6. Step 6: Final answer
    x = 9,024.79

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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.