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Finding the Fourth Proportional to 9,924.37, 13,695.86 and 5,448.44

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Solution

The fourth proportional to 9,924.37, 13,695.86 and 5,448.44 is: 7,518.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.37 : 13,695.86 = 5,448.44 : x
  2. Step 2: Convert to fraction form
    9,924.37/13,695.86 = 5,448.44/x
  3. Step 3: Cross multiply
    9,924.37x = 13,695.86 × 5,448.44
  4. Step 4: Simplify right side
    9,924.37x = 74,621,065.48
  5. Step 5: Solve for x
    x = 74,621,065.48/9,924.37
  6. Step 6: Final answer
    x = 7,518.97

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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.