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Finding the Fourth Proportional to 9,924.81, 13,696.26 and 5,448.85

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Solution

The fourth proportional to 9,924.81, 13,696.26 and 5,448.85 is: 7,519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.81 : 13,696.26 = 5,448.85 : x
  2. Step 2: Convert to fraction form
    9,924.81/13,696.26 = 5,448.85/x
  3. Step 3: Cross multiply
    9,924.81x = 13,696.26 × 5,448.85
  4. Step 4: Simplify right side
    9,924.81x = 74,628,827.94
  5. Step 5: Solve for x
    x = 74,628,827.94/9,924.81
  6. Step 6: Final answer
    x = 7,519.42

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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.