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Finding the Fourth Proportional to 6,236.34, 9,347.22 and 3,462.36

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Solution

The fourth proportional to 6,236.34, 9,347.22 and 3,462.36 is: 5,189.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.34 : 9,347.22 = 3,462.36 : x
  2. Step 2: Convert to fraction form
    6,236.34/9,347.22 = 3,462.36/x
  3. Step 3: Cross multiply
    6,236.34x = 9,347.22 × 3,462.36
  4. Step 4: Simplify right side
    6,236.34x = 32,363,440.64
  5. Step 5: Solve for x
    x = 32,363,440.64/6,236.34
  6. Step 6: Final answer
    x = 5,189.49

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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.