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Finding the Fourth Proportional to 9,092.56, 13,629.04 and 4,402.64

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Solution

The fourth proportional to 9,092.56, 13,629.04 and 4,402.64 is: 6,599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.56 : 13,629.04 = 4,402.64 : x
  2. Step 2: Convert to fraction form
    9,092.56/13,629.04 = 4,402.64/x
  3. Step 3: Cross multiply
    9,092.56x = 13,629.04 × 4,402.64
  4. Step 4: Simplify right side
    9,092.56x = 60,003,756.67
  5. Step 5: Solve for x
    x = 60,003,756.67/9,092.56
  6. Step 6: Final answer
    x = 6,599.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.