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Finding the Fourth Proportional to 9,624.92, 14,436.17 and 2,699.96

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Solution

The fourth proportional to 9,624.92, 14,436.17 and 2,699.96 is: 4,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.92 : 14,436.17 = 2,699.96 : x
  2. Step 2: Convert to fraction form
    9,624.92/14,436.17 = 2,699.96/x
  3. Step 3: Cross multiply
    9,624.92x = 14,436.17 × 2,699.96
  4. Step 4: Simplify right side
    9,624.92x = 38,977,016.12
  5. Step 5: Solve for x
    x = 38,977,016.12/9,624.92
  6. Step 6: Final answer
    x = 4,049.60

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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.