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Finding the Fourth Proportional to 9,597.40, 14,383.99 and 5,144.02

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Solution

The fourth proportional to 9,597.40, 14,383.99 and 5,144.02 is: 7,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.40 : 14,383.99 = 5,144.02 : x
  2. Step 2: Convert to fraction form
    9,597.40/14,383.99 = 5,144.02/x
  3. Step 3: Cross multiply
    9,597.40x = 14,383.99 × 5,144.02
  4. Step 4: Simplify right side
    9,597.40x = 73,991,532.24
  5. Step 5: Solve for x
    x = 73,991,532.24/9,597.40
  6. Step 6: Final answer
    x = 7,709.54

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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.