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Finding the Fourth Proportional to 6,728.34, 9,288.36 and 4,615.32

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Solution

The fourth proportional to 6,728.34, 9,288.36 and 4,615.32 is: 6,371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.34 : 9,288.36 = 4,615.32 : x
  2. Step 2: Convert to fraction form
    6,728.34/9,288.36 = 4,615.32/x
  3. Step 3: Cross multiply
    6,728.34x = 9,288.36 × 4,615.32
  4. Step 4: Simplify right side
    6,728.34x = 42,868,753.68
  5. Step 5: Solve for x
    x = 42,868,753.68/6,728.34
  6. Step 6: Final answer
    x = 6,371.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.