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Finding the Fourth Proportional to 9,591.73, 13,236.16 and 5,342.65

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Solution

The fourth proportional to 9,591.73, 13,236.16 and 5,342.65 is: 7,372.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.73 : 13,236.16 = 5,342.65 : x
  2. Step 2: Convert to fraction form
    9,591.73/13,236.16 = 5,342.65/x
  3. Step 3: Cross multiply
    9,591.73x = 13,236.16 × 5,342.65
  4. Step 4: Simplify right side
    9,591.73x = 70,716,170.22
  5. Step 5: Solve for x
    x = 70,716,170.22/9,591.73
  6. Step 6: Final answer
    x = 7,372.62

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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.