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Finding the Fourth Proportional to 9,924.69, 13,696.38 and 5,448.72

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Solution

The fourth proportional to 9,924.69, 13,696.38 and 5,448.72 is: 7,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.69 : 13,696.38 = 5,448.72 : x
  2. Step 2: Convert to fraction form
    9,924.69/13,696.38 = 5,448.72/x
  3. Step 3: Cross multiply
    9,924.69x = 13,696.38 × 5,448.72
  4. Step 4: Simplify right side
    9,924.69x = 74,627,739.63
  5. Step 5: Solve for x
    x = 74,627,739.63/9,924.69
  6. Step 6: Final answer
    x = 7,519.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.