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Finding the Fourth Proportional to 9,236.60, 13,863.60 and 4,857.20

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Solution

The fourth proportional to 9,236.60, 13,863.60 and 4,857.20 is: 7,290.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.60 : 13,863.60 = 4,857.20 : x
  2. Step 2: Convert to fraction form
    9,236.60/13,863.60 = 4,857.20/x
  3. Step 3: Cross multiply
    9,236.60x = 13,863.60 × 4,857.20
  4. Step 4: Simplify right side
    9,236.60x = 67,338,277.92
  5. Step 5: Solve for x
    x = 67,338,277.92/9,236.60
  6. Step 6: Final answer
    x = 7,290.38

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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.