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Finding the Fourth Proportional to 9,631.90, 14,450.80 and 8,638.43

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Solution

The fourth proportional to 9,631.90, 14,450.80 and 8,638.43 is: 12,960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,631.90 : 14,450.80 = 8,638.43 : x
  2. Step 2: Convert to fraction form
    9,631.90/14,450.80 = 8,638.43/x
  3. Step 3: Cross multiply
    9,631.90x = 14,450.80 × 8,638.43
  4. Step 4: Simplify right side
    9,631.90x = 124,832,238.77
  5. Step 5: Solve for x
    x = 124,832,238.77/9,631.90
  6. Step 6: Final answer
    x = 12,960.30

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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.