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Finding the Fourth Proportional to 6,328.64, 9,472.30 and 5,722.36

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Solution

The fourth proportional to 6,328.64, 9,472.30 and 5,722.36 is: 8,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.64 : 9,472.30 = 5,722.36 : x
  2. Step 2: Convert to fraction form
    6,328.64/9,472.30 = 5,722.36/x
  3. Step 3: Cross multiply
    6,328.64x = 9,472.30 × 5,722.36
  4. Step 4: Simplify right side
    6,328.64x = 54,203,910.63
  5. Step 5: Solve for x
    x = 54,203,910.63/6,328.64
  6. Step 6: Final answer
    x = 8,564.86

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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.