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Finding the Fourth Proportional to 9,924.60, 13,696.25 and 5,448.65

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Solution

The fourth proportional to 9,924.60, 13,696.25 and 5,448.65 is: 7,519.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.60 : 13,696.25 = 5,448.65 : x
  2. Step 2: Convert to fraction form
    9,924.60/13,696.25 = 5,448.65/x
  3. Step 3: Cross multiply
    9,924.60x = 13,696.25 × 5,448.65
  4. Step 4: Simplify right side
    9,924.60x = 74,625,976.84
  5. Step 5: Solve for x
    x = 74,625,976.84/9,924.60
  6. Step 6: Final answer
    x = 7,519.29

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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.