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Finding the Fourth Proportional to 9,924.39, 13,695.04 and 5,448.11

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Solution

The fourth proportional to 9,924.39, 13,695.04 and 5,448.11 is: 7,518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.39 : 13,695.04 = 5,448.11 : x
  2. Step 2: Convert to fraction form
    9,924.39/13,695.04 = 5,448.11/x
  3. Step 3: Cross multiply
    9,924.39x = 13,695.04 × 5,448.11
  4. Step 4: Simplify right side
    9,924.39x = 74,612,088.25
  5. Step 5: Solve for x
    x = 74,612,088.25/9,924.39
  6. Step 6: Final answer
    x = 7,518.05

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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.