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Finding the Fourth Proportional to 9,692, 13,375.08 and 5,500.64

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Solution

The fourth proportional to 9,692, 13,375.08 and 5,500.64 is: 7,590.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692 : 13,375.08 = 5,500.64 : x
  2. Step 2: Convert to fraction form
    9,692/13,375.08 = 5,500.64/x
  3. Step 3: Cross multiply
    9,692x = 13,375.08 × 5,500.64
  4. Step 4: Simplify right side
    9,692x = 73,571,500.05
  5. Step 5: Solve for x
    x = 73,571,500.05/9,692
  6. Step 6: Final answer
    x = 7,590.95

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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.