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Finding the Fourth Proportional to 9,591.88, 13,236.98 and 5,814.12

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Solution

The fourth proportional to 9,591.88, 13,236.98 and 5,814.12 is: 8,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.88 : 13,236.98 = 5,814.12 : x
  2. Step 2: Convert to fraction form
    9,591.88/13,236.98 = 5,814.12/x
  3. Step 3: Cross multiply
    9,591.88x = 13,236.98 × 5,814.12
  4. Step 4: Simplify right side
    9,591.88x = 76,961,390.16
  5. Step 5: Solve for x
    x = 76,961,390.16/9,591.88
  6. Step 6: Final answer
    x = 8,023.60

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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.