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Finding the Fourth Proportional to 9,498.65, 13,107.46 and 5,249.67

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Solution

The fourth proportional to 9,498.65, 13,107.46 and 5,249.67 is: 7,244.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.65 : 13,107.46 = 5,249.67 : x
  2. Step 2: Convert to fraction form
    9,498.65/13,107.46 = 5,249.67/x
  3. Step 3: Cross multiply
    9,498.65x = 13,107.46 × 5,249.67
  4. Step 4: Simplify right side
    9,498.65x = 68,809,839.54
  5. Step 5: Solve for x
    x = 68,809,839.54/9,498.65
  6. Step 6: Final answer
    x = 7,244.17

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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.