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Finding the Fourth Proportional to 9,205.76, 13,806.32 and 2,631.98

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Solution

The fourth proportional to 9,205.76, 13,806.32 and 2,631.98 is: 3,947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.76 : 13,806.32 = 2,631.98 : x
  2. Step 2: Convert to fraction form
    9,205.76/13,806.32 = 2,631.98/x
  3. Step 3: Cross multiply
    9,205.76x = 13,806.32 × 2,631.98
  4. Step 4: Simplify right side
    9,205.76x = 36,337,958.11
  5. Step 5: Solve for x
    x = 36,337,958.11/9,205.76
  6. Step 6: Final answer
    x = 3,947.31

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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.