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Finding the Fourth Proportional to 6,197.60, 9,286.80 and 5,218.40

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Solution

The fourth proportional to 6,197.60, 9,286.80 and 5,218.40 is: 7,819.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.60 : 9,286.80 = 5,218.40 : x
  2. Step 2: Convert to fraction form
    6,197.60/9,286.80 = 5,218.40/x
  3. Step 3: Cross multiply
    6,197.60x = 9,286.80 × 5,218.40
  4. Step 4: Simplify right side
    6,197.60x = 48,462,237.12
  5. Step 5: Solve for x
    x = 48,462,237.12/6,197.60
  6. Step 6: Final answer
    x = 7,819.52

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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.