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Finding the Fourth Proportional to 9,825.60, 14,739.48 and 3,249.39

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Solution

The fourth proportional to 9,825.60, 14,739.48 and 3,249.39 is: 4,874.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.60 : 14,739.48 = 3,249.39 : x
  2. Step 2: Convert to fraction form
    9,825.60/14,739.48 = 3,249.39/x
  3. Step 3: Cross multiply
    9,825.60x = 14,739.48 × 3,249.39
  4. Step 4: Simplify right side
    9,825.60x = 47,894,318.92
  5. Step 5: Solve for x
    x = 47,894,318.92/9,825.60
  6. Step 6: Final answer
    x = 4,874.44

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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.