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Finding the Fourth Proportional to 9,631.48, 14,467.68 and 9,069.70

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Solution

The fourth proportional to 9,631.48, 14,467.68 and 9,069.70 is: 13,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,631.48 : 14,467.68 = 9,069.70 : x
  2. Step 2: Convert to fraction form
    9,631.48/14,467.68 = 9,069.70/x
  3. Step 3: Cross multiply
    9,631.48x = 14,467.68 × 9,069.70
  4. Step 4: Simplify right side
    9,631.48x = 131,217,517.30
  5. Step 5: Solve for x
    x = 131,217,517.30/9,631.48
  6. Step 6: Final answer
    x = 13,623.82

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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.