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Finding the Fourth Proportional to 6,763.32, 9,322.23 and 4,524.39

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Solution

The fourth proportional to 6,763.32, 9,322.23 and 4,524.39 is: 6,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.32 : 9,322.23 = 4,524.39 : x
  2. Step 2: Convert to fraction form
    6,763.32/9,322.23 = 4,524.39/x
  3. Step 3: Cross multiply
    6,763.32x = 9,322.23 × 4,524.39
  4. Step 4: Simplify right side
    6,763.32x = 42,177,404.19
  5. Step 5: Solve for x
    x = 42,177,404.19/6,763.32
  6. Step 6: Final answer
    x = 6,236.20

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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.