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Finding the Fourth Proportional to 6,328.06, 9,491.12 and 3,365.34

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Solution

The fourth proportional to 6,328.06, 9,491.12 and 3,365.34 is: 5,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.06 : 9,491.12 = 3,365.34 : x
  2. Step 2: Convert to fraction form
    6,328.06/9,491.12 = 3,365.34/x
  3. Step 3: Cross multiply
    6,328.06x = 9,491.12 × 3,365.34
  4. Step 4: Simplify right side
    6,328.06x = 31,940,845.78
  5. Step 5: Solve for x
    x = 31,940,845.78/6,328.06
  6. Step 6: Final answer
    x = 5,047.49

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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.