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Finding the Fourth Proportional to 9,498.50, 13,107.57 and 5,249.48

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Solution

The fourth proportional to 9,498.50, 13,107.57 and 5,249.48 is: 7,244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.50 : 13,107.57 = 5,249.48 : x
  2. Step 2: Convert to fraction form
    9,498.50/13,107.57 = 5,249.48/x
  3. Step 3: Cross multiply
    9,498.50x = 13,107.57 × 5,249.48
  4. Step 4: Simplify right side
    9,498.50x = 68,807,861.03
  5. Step 5: Solve for x
    x = 68,807,861.03/9,498.50
  6. Step 6: Final answer
    x = 7,244.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.