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Finding the Fourth Proportional to 9,632.57, 14,436.70 and 8,206.97

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Solution

The fourth proportional to 9,632.57, 14,436.70 and 8,206.97 is: 12,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.57 : 14,436.70 = 8,206.97 : x
  2. Step 2: Convert to fraction form
    9,632.57/14,436.70 = 8,206.97/x
  3. Step 3: Cross multiply
    9,632.57x = 14,436.70 × 8,206.97
  4. Step 4: Simplify right side
    9,632.57x = 118,481,471.10
  5. Step 5: Solve for x
    x = 118,481,471.10/9,632.57
  6. Step 6: Final answer
    x = 12,300.10

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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.