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Finding the Fourth Proportional to 9,230.60, 13,842.48 and 4,847.60

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Solution

The fourth proportional to 9,230.60, 13,842.48 and 4,847.60 is: 7,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.60 : 13,842.48 = 4,847.60 : x
  2. Step 2: Convert to fraction form
    9,230.60/13,842.48 = 4,847.60/x
  3. Step 3: Cross multiply
    9,230.60x = 13,842.48 × 4,847.60
  4. Step 4: Simplify right side
    9,230.60x = 67,102,806.05
  5. Step 5: Solve for x
    x = 67,102,806.05/9,230.60
  6. Step 6: Final answer
    x = 7,269.60

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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.