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Finding the Fourth Proportional to 6,328.53, 9,493.20 and 3,726

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Solution

The fourth proportional to 6,328.53, 9,493.20 and 3,726 is: 5,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.53 : 9,493.20 = 3,726 : x
  2. Step 2: Convert to fraction form
    6,328.53/9,493.20 = 3,726/x
  3. Step 3: Cross multiply
    6,328.53x = 9,493.20 × 3,726
  4. Step 4: Simplify right side
    6,328.53x = 35,371,663.20
  5. Step 5: Solve for x
    x = 35,371,663.20/6,328.53
  6. Step 6: Final answer
    x = 5,589.24

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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.