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Finding the Fourth Proportional to 9,601.92, 14,394.96 and 3,024

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Solution

The fourth proportional to 9,601.92, 14,394.96 and 3,024 is: 4,533.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.92 : 14,394.96 = 3,024 : x
  2. Step 2: Convert to fraction form
    9,601.92/14,394.96 = 3,024/x
  3. Step 3: Cross multiply
    9,601.92x = 14,394.96 × 3,024
  4. Step 4: Simplify right side
    9,601.92x = 43,530,359.04
  5. Step 5: Solve for x
    x = 43,530,359.04/9,601.92
  6. Step 6: Final answer
    x = 4,533.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.