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Finding the Fourth Proportional to 9,165.59, 13,738.74 and 5,836.37

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Solution

The fourth proportional to 9,165.59, 13,738.74 and 5,836.37 is: 8,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.59 : 13,738.74 = 5,836.37 : x
  2. Step 2: Convert to fraction form
    9,165.59/13,738.74 = 5,836.37/x
  3. Step 3: Cross multiply
    9,165.59x = 13,738.74 × 5,836.37
  4. Step 4: Simplify right side
    9,165.59x = 80,184,369.97
  5. Step 5: Solve for x
    x = 80,184,369.97/9,165.59
  6. Step 6: Final answer
    x = 8,748.41

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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.