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Finding the Fourth Proportional to 9,591.96, 13,236.57 and 5,342.88

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Solution

The fourth proportional to 9,591.96, 13,236.57 and 5,342.88 is: 7,372.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.96 : 13,236.57 = 5,342.88 : x
  2. Step 2: Convert to fraction form
    9,591.96/13,236.57 = 5,342.88/x
  3. Step 3: Cross multiply
    9,591.96x = 13,236.57 × 5,342.88
  4. Step 4: Simplify right side
    9,591.96x = 70,721,405.12
  5. Step 5: Solve for x
    x = 70,721,405.12/9,591.96
  6. Step 6: Final answer
    x = 7,372.99

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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.