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Finding the Fourth Proportional to 9,604.37, 13,200.38 and 8,478.47

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Solution

The fourth proportional to 9,604.37, 13,200.38 and 8,478.47 is: 11,652.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.37 : 13,200.38 = 8,478.47 : x
  2. Step 2: Convert to fraction form
    9,604.37/13,200.38 = 8,478.47/x
  3. Step 3: Cross multiply
    9,604.37x = 13,200.38 × 8,478.47
  4. Step 4: Simplify right side
    9,604.37x = 111,918,917.42
  5. Step 5: Solve for x
    x = 111,918,917.42/9,604.37
  6. Step 6: Final answer
    x = 11,652.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.