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Finding the Fourth Proportional to 6,161.34, 9,239.05 and 4,313.33

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Solution

The fourth proportional to 6,161.34, 9,239.05 and 4,313.33 is: 6,467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.34 : 9,239.05 = 4,313.33 : x
  2. Step 2: Convert to fraction form
    6,161.34/9,239.05 = 4,313.33/x
  3. Step 3: Cross multiply
    6,161.34x = 9,239.05 × 4,313.33
  4. Step 4: Simplify right side
    6,161.34x = 39,851,071.54
  5. Step 5: Solve for x
    x = 39,851,071.54/6,161.34
  6. Step 6: Final answer
    x = 6,467.92

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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.