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Finding the Fourth Proportional to 9,099, 13,635.36 and 5,204.52

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Solution

The fourth proportional to 9,099, 13,635.36 and 5,204.52 is: 7,799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099 : 13,635.36 = 5,204.52 : x
  2. Step 2: Convert to fraction form
    9,099/13,635.36 = 5,204.52/x
  3. Step 3: Cross multiply
    9,099x = 13,635.36 × 5,204.52
  4. Step 4: Simplify right side
    9,099x = 70,965,503.83
  5. Step 5: Solve for x
    x = 70,965,503.83/9,099
  6. Step 6: Final answer
    x = 7,799.26

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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.