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Finding the Fourth Proportional to 9,802.96, 13,524.24 and 5,608.96

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Solution

The fourth proportional to 9,802.96, 13,524.24 and 5,608.96 is: 7,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.96 : 13,524.24 = 5,608.96 : x
  2. Step 2: Convert to fraction form
    9,802.96/13,524.24 = 5,608.96/x
  3. Step 3: Cross multiply
    9,802.96x = 13,524.24 × 5,608.96
  4. Step 4: Simplify right side
    9,802.96x = 75,856,921.19
  5. Step 5: Solve for x
    x = 75,856,921.19/9,802.96
  6. Step 6: Final answer
    x = 7,738.16

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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.