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Finding the Fourth Proportional to 9,799.92, 13,523.64 and 5,323.56

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Solution

The fourth proportional to 9,799.92, 13,523.64 and 5,323.56 is: 7,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.92 : 13,523.64 = 5,323.56 : x
  2. Step 2: Convert to fraction form
    9,799.92/13,523.64 = 5,323.56/x
  3. Step 3: Cross multiply
    9,799.92x = 13,523.64 × 5,323.56
  4. Step 4: Simplify right side
    9,799.92x = 71,993,908.96
  5. Step 5: Solve for x
    x = 71,993,908.96/9,799.92
  6. Step 6: Final answer
    x = 7,346.38

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Similar ratio
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1.5x scale

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.