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Finding the Fourth Proportional to 6,322.49, 9,478.26 and 3,397.37

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Solution

The fourth proportional to 6,322.49, 9,478.26 and 3,397.37 is: 5,093.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.49 : 9,478.26 = 3,397.37 : x
  2. Step 2: Convert to fraction form
    6,322.49/9,478.26 = 3,397.37/x
  3. Step 3: Cross multiply
    6,322.49x = 9,478.26 × 3,397.37
  4. Step 4: Simplify right side
    6,322.49x = 32,201,156.18
  5. Step 5: Solve for x
    x = 32,201,156.18/6,322.49
  6. Step 6: Final answer
    x = 5,093.11

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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.