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Finding the Fourth Proportional to 9,624.96, 14,436.38 and 3,385.16

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Solution

The fourth proportional to 9,624.96, 14,436.38 and 3,385.16 is: 5,077.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.96 : 14,436.38 = 3,385.16 : x
  2. Step 2: Convert to fraction form
    9,624.96/14,436.38 = 3,385.16/x
  3. Step 3: Cross multiply
    9,624.96x = 14,436.38 × 3,385.16
  4. Step 4: Simplify right side
    9,624.96x = 48,869,456.12
  5. Step 5: Solve for x
    x = 48,869,456.12/9,624.96
  6. Step 6: Final answer
    x = 5,077.37

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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.