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Finding the Fourth Proportional to 9,596.52, 14,362.14 and 5,896.80

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Solution

The fourth proportional to 9,596.52, 14,362.14 and 5,896.80 is: 8,825.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.52 : 14,362.14 = 5,896.80 : x
  2. Step 2: Convert to fraction form
    9,596.52/14,362.14 = 5,896.80/x
  3. Step 3: Cross multiply
    9,596.52x = 14,362.14 × 5,896.80
  4. Step 4: Simplify right side
    9,596.52x = 84,690,667.15
  5. Step 5: Solve for x
    x = 84,690,667.15/9,596.52
  6. Step 6: Final answer
    x = 8,825.14

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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.