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Finding the Fourth Proportional to 9,782.94, 13,500.96 and 5,591.20

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Solution

The fourth proportional to 9,782.94, 13,500.96 and 5,591.20 is: 7,716.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.94 : 13,500.96 = 5,591.20 : x
  2. Step 2: Convert to fraction form
    9,782.94/13,500.96 = 5,591.20/x
  3. Step 3: Cross multiply
    9,782.94x = 13,500.96 × 5,591.20
  4. Step 4: Simplify right side
    9,782.94x = 75,486,567.55
  5. Step 5: Solve for x
    x = 75,486,567.55/9,782.94
  6. Step 6: Final answer
    x = 7,716.14

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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.