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Finding the Fourth Proportional to 9,713.37, 13,404.78 and 5,936.07

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Solution

The fourth proportional to 9,713.37, 13,404.78 and 5,936.07 is: 8,191.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.37 : 13,404.78 = 5,936.07 : x
  2. Step 2: Convert to fraction form
    9,713.37/13,404.78 = 5,936.07/x
  3. Step 3: Cross multiply
    9,713.37x = 13,404.78 × 5,936.07
  4. Step 4: Simplify right side
    9,713.37x = 79,571,712.41
  5. Step 5: Solve for x
    x = 79,571,712.41/9,713.37
  6. Step 6: Final answer
    x = 8,191.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.