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Finding the Fourth Proportional to 9,926.14, 13,698.04 and 5,449.78

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Solution

The fourth proportional to 9,926.14, 13,698.04 and 5,449.78 is: 7,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.14 : 13,698.04 = 5,449.78 : x
  2. Step 2: Convert to fraction form
    9,926.14/13,698.04 = 5,449.78/x
  3. Step 3: Cross multiply
    9,926.14x = 13,698.04 × 5,449.78
  4. Step 4: Simplify right side
    9,926.14x = 74,651,304.43
  5. Step 5: Solve for x
    x = 74,651,304.43/9,926.14
  6. Step 6: Final answer
    x = 7,520.68

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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.