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Finding the Fourth Proportional to 9,205.89, 13,806.51 and 2,632.11

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Solution

The fourth proportional to 9,205.89, 13,806.51 and 2,632.11 is: 3,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.89 : 13,806.51 = 2,632.11 : x
  2. Step 2: Convert to fraction form
    9,205.89/13,806.51 = 2,632.11/x
  3. Step 3: Cross multiply
    9,205.89x = 13,806.51 × 2,632.11
  4. Step 4: Simplify right side
    9,205.89x = 36,340,253.04
  5. Step 5: Solve for x
    x = 36,340,253.04/9,205.89
  6. Step 6: Final answer
    x = 3,947.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.