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Finding the Fourth Proportional to 9,949.14, 14,894.91 and 7,494.30

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Solution

The fourth proportional to 9,949.14, 14,894.91 and 7,494.30 is: 11,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949.14 : 14,894.91 = 7,494.30 : x
  2. Step 2: Convert to fraction form
    9,949.14/14,894.91 = 7,494.30/x
  3. Step 3: Cross multiply
    9,949.14x = 14,894.91 × 7,494.30
  4. Step 4: Simplify right side
    9,949.14x = 111,626,924.01
  5. Step 5: Solve for x
    x = 111,626,924.01/9,949.14
  6. Step 6: Final answer
    x = 11,219.76

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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.