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Finding the Fourth Proportional to 9,843.20, 14,773.44 and 5,465.60

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Solution

The fourth proportional to 9,843.20, 14,773.44 and 5,465.60 is: 8,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.20 : 14,773.44 = 5,465.60 : x
  2. Step 2: Convert to fraction form
    9,843.20/14,773.44 = 5,465.60/x
  3. Step 3: Cross multiply
    9,843.20x = 14,773.44 × 5,465.60
  4. Step 4: Simplify right side
    9,843.20x = 80,745,713.66
  5. Step 5: Solve for x
    x = 80,745,713.66/9,843.20
  6. Step 6: Final answer
    x = 8,203.20

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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.