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Finding the Fourth Proportional to 9,924.96, 13,695.84 and 5,448.48

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Solution

The fourth proportional to 9,924.96, 13,695.84 and 5,448.48 is: 7,518.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.96 : 13,695.84 = 5,448.48 : x
  2. Step 2: Convert to fraction form
    9,924.96/13,695.84 = 5,448.48/x
  3. Step 3: Cross multiply
    9,924.96x = 13,695.84 × 5,448.48
  4. Step 4: Simplify right side
    9,924.96x = 74,621,510.32
  5. Step 5: Solve for x
    x = 74,621,510.32/9,924.96
  6. Step 6: Final answer
    x = 7,518.57

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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.