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Finding the Fourth Proportional to 6,204.21, 9,304.49 and 3,430.37

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Solution

The fourth proportional to 6,204.21, 9,304.49 and 3,430.37 is: 5,144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.21 : 9,304.49 = 3,430.37 : x
  2. Step 2: Convert to fraction form
    6,204.21/9,304.49 = 3,430.37/x
  3. Step 3: Cross multiply
    6,204.21x = 9,304.49 × 3,430.37
  4. Step 4: Simplify right side
    6,204.21x = 31,917,779.69
  5. Step 5: Solve for x
    x = 31,917,779.69/6,204.21
  6. Step 6: Final answer
    x = 5,144.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.