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Finding the Fourth Proportional to 9,842.20, 14,771.94 and 5,464.60

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Solution

The fourth proportional to 9,842.20, 14,771.94 and 5,464.60 is: 8,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.20 : 14,771.94 = 5,464.60 : x
  2. Step 2: Convert to fraction form
    9,842.20/14,771.94 = 5,464.60/x
  3. Step 3: Cross multiply
    9,842.20x = 14,771.94 × 5,464.60
  4. Step 4: Simplify right side
    9,842.20x = 80,722,743.32
  5. Step 5: Solve for x
    x = 80,722,743.32/9,842.20
  6. Step 6: Final answer
    x = 8,201.70

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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.