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Finding the Fourth Proportional to 9,844.02, 13,584.78 and 5,652

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Solution

The fourth proportional to 9,844.02, 13,584.78 and 5,652 is: 7,799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.02 : 13,584.78 = 5,652 : x
  2. Step 2: Convert to fraction form
    9,844.02/13,584.78 = 5,652/x
  3. Step 3: Cross multiply
    9,844.02x = 13,584.78 × 5,652
  4. Step 4: Simplify right side
    9,844.02x = 76,781,176.56
  5. Step 5: Solve for x
    x = 76,781,176.56/9,844.02
  6. Step 6: Final answer
    x = 7,799.78

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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.