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Finding the Fourth Proportional to 9,596.40, 14,410.23 and 5,921.97

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Solution

The fourth proportional to 9,596.40, 14,410.23 and 5,921.97 is: 8,892.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.40 : 14,410.23 = 5,921.97 : x
  2. Step 2: Convert to fraction form
    9,596.40/14,410.23 = 5,921.97/x
  3. Step 3: Cross multiply
    9,596.40x = 14,410.23 × 5,921.97
  4. Step 4: Simplify right side
    9,596.40x = 85,336,949.75
  5. Step 5: Solve for x
    x = 85,336,949.75/9,596.40
  6. Step 6: Final answer
    x = 8,892.60

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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.